The table shows the number of cell phone towers a company will build as the number of its customers increases. Complete a and b below.
Cell Phone Towers
Customers​ (thousands)
Towers
3.25
169
4.25
221
5.25
273
7.25
377
a. Is the relationship between number of towers and number of customers​ proportional? Explain. Choose the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of nothing.
B.
No. The ratios of towers to customers are not all equivalent.

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

Divide 169 by 3.25 and you get 52.

Divide 221 by 4.25 and you get 52.

Do this for all of the rest, and they will all be 52.

Hope this helps!

Answer 2

Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of nothing. Therefore, option A is the correct answer.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent.

The given table is

Cell Phone Towers          Customers​ (thousands) Towers

        3.25                                          169

        4.25                                          221

        5.25                                          273

        7.25                                          377

Here, the ratio of Cell Phone Towers : Customers​ (thousands) Towers

3.25 : 169

= 325/16900

= (325÷325)/(16900÷325)

= 1/52

4.25 : 221

= 425/22100

= 1/52

5.25 : 273

= 525/27300

= 1/52

7.25 : 377

= 725/37700

= 1/52

Therefore, the ratio of given cell phone towers to customers​ (thousands) towers are equivalent.

To learn more about the proportional relationship visit:

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Related Questions

NEED HELP ASAP! HURRY!

Answers

Answer:

B, C

Step-by-step explanation:

Both these intervals are where the graph is increasing.

Is this proportional 1/7, 4/28

Answers

Answer:

yes it is proportional

Step-by-step explanation:

A triangle has side lengths of (3a – 7),
(a + 14), and (2a + 1). What simplified
expression represents the perimeter of the
triangle?

Answers

Answer:

6a+8

Step-by-step explanation:

To find the perimeter of a shape add all the sides up

To do this just add everything together

this means we have

3a-7+a+14+2a+1

Add like terms and get

6a+8

A computer has a price of $400.with sales tax,it will cost $416. What is the sales tax percentage

Answers

100 - 80% = 20 %

20% = $416

416 x 5 = $2080 = 100%

The quitient of w and 10 is equal to 7

Answers

Answer: It's prolly 70

Step-by-step explanation:

70/10=7

It’s 70 because 10x7= 70

A puppy's weight, in y ounces, after x weeks, can be represented by y = 1.2x +2.25. Which statement is a correct interpretation of this relationship?
The puppy's weight after 1.2 weeks is 2.25 ounces.
The puppy's weight when it was born was 1.2 ounces.
The puppy's weight increases at the rate of 1.2 ounces per week.
The puppy's weight increases at the rate of 2.25 ounces per week.

Answers

Answer:

The puppy's weight increases at the rate of 1.2 ounces per week.

What is an equivalent expression for 4(2m + n)

Answers

Answer:

8m+4n

Step-by-step explanation:

4(2m+n)

you have to distribute 4 to 2m and n

so your answer will be

8m+4n

Hope this helped :))

Answer:

8m + 4n

Step-by-step explanation:

To find the answer, you should distribute the 4 on the outside of the parentheses to each of the terms inside the parentheses, which would get: 4(2m) + 4n.

Simplify 4(2m) by multiplying, which gets 8m.

The equation is then 8m + 4n, which cannot be added together because the variables are different.

i'm training my robots to eat midnight cupcakes. every 14 days it eats 4 cupcakes and id like enough for the next 28 days. how many do I buy?

Answers

Answer:

8 cupcakes

Step-by-step explanation:

It eats 4 every 14. 14x2=28 so two sets of four.

Answer: 8 cupcakes
Explanation: it’s 8


2 (4 + g)(-11) = 121

Answers

Answer:
= −19/2


Step-by-step-explanation:

2(4+)(−11)=121
2(+4)(−11)=121

hey please help me with this

Answers

Answer:

The Answer is A(6+3x=30)

Step-by-step explanation:

Because there is one 6, and 3 x's then you simplify the problem to be:

6+3x=30

ANSWER: 6+3x=30 (Answer A)

Answer:

B) 3(X+6)=30

Step-by-step explanation:

The correct equation should be 6+3x=30

B is 3X+18=30

The other equations are the same

c) 3x=30-6 (the next step to solving the equation

d) 30=3x+6 (symmetric property)

Find the value of 5^-3 x 2^-1

Answers

Answer:

1/250

Step-by-step explanation:

5^-3 × 2^-1

5^-3 = 1/5^3 = 1/125

2^-1 = 1/2^1 = 1/2

so 5^-3 × 2^-1 means 1/125 × 1/2

= 1/125 × 1/2

= 1/250

Write an equation of the line passing through the points (3,5) and (-1. - 15).

Answers

Answer:

y = 5x - 10

Step-by-step explanation:

Answer:

y=20/4x-10

Step-by-step explanation:

(3, 5) (-1, -15)

-15-5/-1-3=20/4x

y=-10

If this pattern continues how many squares will be in the 10th figure

Answers

Answer: E

Step-by-step explanation:

Answer:32

Step-by-step explanation:

you add 3 blocks each time

Please help due ASAP
Show workings

Answers

Answer:

WZ = 30

Step-by-step explanation:

set up equation based on WZ = W'Z'

3/4[6x + 10] = 13x - 35

multiply each side of equation by 4 to eliminate fractions:

18x + 30 = 52x - 140

-34x = -170

x = 5

substitute 5 for 'x' in either expression:

13(5) - 35

65 - 35 = 30

Answer:

[tex] \frac{3}{4} (6x + 10) = 13x - 35 \\ [/tex]

Just find the value x

Can someone please help me??

Answers

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 (÷2 on both sides)

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 (-24 on both sides)

2b= 6

b= 6 ÷2

b= 3

Answer:

y = 6, b = 3

Step-by-step explanation:

Since both equations have 2b in them, subtracting them gets you a quick result because the 2b-2b cancels out!

2b + 6y = 42

2b + 4y = 30

------------------ -

       2y = 12

         y = 6

Then 2b = 42 - 36 = 6, so b = 6/2 = 3

A chemist has a mixture with a temperature of 3.5°C. Then the chemist cools the mixture. The temperature changes by -14.2°C. What is the temperature of the mixture after it cools? Show your work.

Answers

Answer:

-10.7°C

Step-by-step explanation:

The change in the temperature is the difference between the initial  temperature and the final temperature. Let the initial temperature be T1 and the final be T2 then the change in temperature will be

= T2 - T1

Hence

-14.2 = T2 - 3.5

T2 = -14.2 + 3.5

= - 10.7°C

The temperature of the mixture after it cools is -10.7°C



Consider the figure.
19 in.
9 in.
8 in.
Enter the volume, in cubic inches, of the right rectangular prism

Answers

Answer:

1368 inches ^3

Step-by-step explanation:

3x + 7 = y-5
trying to find y

Answers

Answer: Simplifying

3x + 7 = y + -5

Reorder the terms:

7 + 3x = y + -5

Reorder the terms:

7 + 3x = -5 + y

Solving

7 + 3x = -5 + y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3x = -5 + -7 + y

Combine like terms: 7 + -7 = 0

0 + 3x = -5 + -7 + y

3x = -5 + -7 + y

Combine like terms: -5 + -7 = -12

3x = -12 + y

Divide each side by '3'.

x = -4 + 0.3333333333y

Simplifying

x = -4 + 0.3333333333y

Step-by-step explanation: Hope it helps please mark brainliest.

z=
Please help!!!!!!!

Answers

Answer:

37

Step-by-step explanation: sorry if wrong just trying to help

Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven dollars and four dollars per pound how many pounds of the seven dollar per pound coffee should be used in this mixture

Answers

Answer:

y =  60

Step-by-step explanation:

From the  information we get:

x  quantity of 4 dollars  coffee used in the mix

y  quantity of 7 dollars  coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound  ( 90 pounds)

Then  6*90  =  540  $

Therefore

x  +  y  =  90     and

4*x  +  7*y  =  540

A two equations system we solve for x and y

y =  90  -  x

4*x  +  7* ( 90  -  x ) = 540

4*x  +  630 - 7*x  =  540

- 3*x  =  - 90

x = 30 pounds   and

y  =  90  -  30

y  =  60

We should use  60 pounds of the seven $ coffee

The selling price of an item is ​$650. It is marked down by ​%10, but this sale price is still marked up from the cost of ​$450. Find the markup from cost to sale price.

Answers

Answer:

nothing

Step-by-step explanation:

You get nothing because it would make -43256742984

State if the three numbers can be the measures of the sides of a triangle.
9, 12, 24

Answers

Answer:

yes it could

Step-by-step explanation:

FIND THE VALUEOF THE VARIBLE AND FILL THE BLANK.
6) 23F-17=29
7) 2(3G+4)=56
8) H+9=0
9) 3(K-8)=96
10) 5M-5=0

Answers

Answer:

f = 2

g = 8

h = -9

k = 40

m = 1

Step-by-step explanation:

Equation 1:

23f - 17 = 29

Add 17 to both sides. This undoes the -17.

23f = 29 + 17

Add 17 to 29 to get 46.

23f = 46

Divide both sides by 23. This undoes the multiplication by 23.

f = 46/23

Divide 46 by 23 to get 2.

f = 2

Equation 2:

2(3g + 4) = 56

Divide both sides by 2. This undoes the multiplication by 2.

3g + 4 = 56/2

Divide 56 by 2 to get 28.

3g + 4 = 28

Subtract 4 from both sides. This undoes the +4.

3g = 28 - 4

Subtract 4 from 28 to get 24.

3g = 24

Divide both sides by 3. This undoes the multiplication by 3.

g = 24/3

Divide 24 by 3 to get 8.

g = 8

Equation 3:

h + 9 = 0

Subtract 9 from both sides. This undoes the +9.

h = 0 - 9

Any number subtracted from 0 gives its negation.

h = -9

Equation 4

3(k - 8) = 96

Divide both sides by 3. This undoes the multiplication by 3.

k - 8 = 96/3

Divide 96 by 3 to get 32.

k - 8 = 32

Add 8 to both sides. This undoes the -8.

k = 32 + 8

Add 8 to 32 to get 40.

k = 40

Equation 5:

5m - 5 = 0

Add 5 to both sides. This undoes the -5

5m = 0 + 5

Anything plus 0 gives itself.

5m = 5

Divide both sides by 5. This undoes the multiplication by 5

m = 5/5

Anything divided by itself gives you 1.

m = 1

Y varies directly as X. If x= 6 when y=2. Find the constant and write an equation.
If y= 18 find x. ​

Answers

Answer:

x=54

Step-by-step explanation:

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible.

Answers

Answer:

The music director could make 15 groups of performers with 6 6th grade students and 5 7th grade students in each group.

Step-by-step explanation:

Since in the question it is mentioned that

There is 90 6th grade students and 75 7th grade students

Now factor could be done in the following ways

90 = 2 × 45 = 2 × 3 × 15 = 2 × 3 × 3 × 5

75 = 3 × 25 = 3 × 5 × 5

Now the GCF of 90 and 75 is

= 3 × 5

= 15

So,

90 = 15 × 6

75 = 15 × 5

Hence, The music director could make 15 groups of performers with 6 6th grade students and 5 7th grade students in each group.

Terry is purchasing a bike that is on sale for 40% off the original price. After a coupon is applied that reduces the sale price by 20%, Terry's final cost for the bike is $168. What was the original price of the bike Terry is purchasing?

Answers

Answer:

$420

Step-by-step explanation:

(100 - 40)x = 60x

60x - 20 = 40x

0.4x = $168

x = $168/0.4 = $420

What is the measure of

Answers

Answer:

x=50°

Step-by-step explanation:

52°+78°+x°=180°(by angle sum property)

130°+x°=180°

x°=180°-130°

x°=50°

Answer:

ur answer would be x=50

Step-by-step explanation:

hope this helps

right on edge 2021

I need assistance plz ;-; 50 points on the table

Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below

R(3,3) S(-6,-6)

Answers

Answer:

[tex] \frac{(y - 3)}{(x - 3)} = \frac{( - 6 - 3)}{( - 6 - 3)} = \frac{( - 9)}{( - 9)} = 1 \\ \frac{(y - 3)}{(x - 3)} = 1 \\ y - 3 = x - 3 \\ \boxed{y = x}[/tex]

Slope of the equation is 1 and intercept of the equation is 0.

Write all pairs of numbers satisfying the equation
x2 + y2 =5 and x2 + y2= 25

Answers

Answer:

There is no solution for this set of equations.

The sum of two numbers can not have two different solutions.

Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection. 6.RP.1​

Answers

Answer:

14:21

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

Find what can be divided into 42 and 28 evenly.

28 divided by 14= 2   (Baseball cards)

42 divided by 14=3    (Football cards)

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/afternoon/night!!!

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