Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The slope of the linear function for plan B is of $0.17.

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

A linear function has an equation in the following format:

[tex]y = mx + b[/tex]

In which

m is the slope, which is the rate of change, measuring how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

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

Plan B has the same monthly base charge as plan A, that is, from the table, when [tex]x = 0, y = 14.45[/tex], and thus, (0, 14.45) is one of the points of the function.The monthly charge for 45 minutes is of $22.10, thus, another point is (45, 22.10).Given two points, the slope is given by the change in y divided by the change in x. Thus:

[tex]m = \frac{22.1 - 14.45}{45 - 0} = 0.17[/tex]

The slope is of $0.17.

A similar problem is given at https://brainly.com/question/16302622


Related Questions

Last year, Shen opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 22.5% . How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Answer:

The decrease was $1755.

At the end of the year, he had $6045 in his account.

Step-by-step explanation:

Start with $7800.

Decrease of 22.5% of $7800.

22.5% of $7800 =

= $1755

The decrease was $1755.

$7800 - $1755 = $6045

At the end of the year, he had $6045 in his account.

What is the value of x 2/3-1=11.

Answers

Answer:

18

Step-by-step explanation:

R(9, 7) and S(3,9) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=

Answers

Answer:

MP=(6,8)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{9+3}{2} )(\frac{7+9}{2})\\MP= (\frac{12}{2} )(\frac{16}{2} )\\MP= (6,8)[/tex]

Find the coordinates of the midpoint of RS if R(-8,-3) and S(2,7) (-3,-2) (2,-3) (3,-2) (-3,2)

Answers

Answer:

Step-by-step explanation:

(-8+2)/2= -6/2 = -3

(-3+7)/2= 4/2 = 2

(-3, 2) midpoint

Pls halp due today >_<. Thank you

Answers

Answer:

12 and 13

Step-by-step explanation:

12•12=144

And

13•13=169... but there is no whole number in between can equal 150

And btw is that big ideas bc I used to use that lol... Hope this helps!!

what is the first step of 2x - 6 = 10​

Answers

the first step would be adding 6 to 10

Answer: you would add 6 to 10

Step-by-step explanation: you’re trying to isolate the x so you add 6 to the other side

can’t move on until this question is answered help :((

Function m is a transformation of the parent quadratic function f(x)=x^2
m(x)=x^2 +5
which statement is true?
A. Function F was translated 5 units down to create function M
B. Function F was translated 5 units left to create function M
C. Function F was translated 5 units up to create function M
D. Function F was translated 5 units right to create function M

Answers

Answer:

C. Function F was translated 5 units up to create function M

Answer:

its C.function f was translated 5 units up to create function m

Given Ax) = 5x^6what is the domain?
0 5 O XC0
O XC0
O all real numbers

Answers

Answer: a=  5o3x606 / 2.718282ginv

Step-by-step explanation:giv(2.718282)nax=5x605oxc0oxc0o

Step 1: Divide both sides by 2.718282ginvx.

2.718282aginvx

2.718282ginvx

=

5o3x607

2.718282ginvx

a=

5o3x606

2.718282ginv

Answer:

all real numbers

part two is y is greater than or equal to 0

Step-by-step explanation:

correct on edge

how many solutions does 6(x + 2) = 5(x + 7) have

Answers

X equals 23! So it’s one solution

How do you turn fractions into decimals

Answers

Answer:

you divide the numerator by the denominator

Step-by-step explanation:

An apartment building has a parking lot with 12 parking spaces for tenants. At 6 a.m., all 12 spaces were full. At 8 a.m., the number of cars in the lot had decreased by 4. By 9 a.m., there were no cars left in the lot. Use the number line to show each change in the number of cars in the parking lot. What integer represents the change in the number of cars between 8 a.m. and 9 a.m.?

Answers

Answer:

...80u9

Step-by-step explanation:

is this a right triangle?

Answers

The only way to really tell is to check it with the Pythagorean Theorem.

The Pythagorean Theorem describes every right triangle, and every triangle that fits the Pythagorean Theorem has a right angle in it.  Guaranteed.  This is incredibly handy.

If this IS a right triangle, then

(one leg squared) + (the other leg squared) = (the hypotenuse squared) .  

Let's check it out:

--  One leg squared = (11 cm)²  .  That's  121 cm² .

--  The other leg squared = (√99 cm)² .  That's  99 cm²  .

--  Their sum is  (121 + 99) cm² .  That's  220 cm² .

-- The hypotenuse squared is  (15 cm)² .  That's  225 cm² .

Is  220 cm² equal to  225 cm² ?

NO !  They are not equal.  They are different !

The sum of the squares of the legs is NOT equal to the square of the hippopotamus.

==>  This triangle does NOT fit the Pythagorean Theorem.

==>  It is NOT a right triangle.

(The angle in the bottom corner is slightly bigger than 90°.  But you can't tell by looking at it.  It's so close that you can only tell by checkoing the lengths againt the Pythagorean Theorem.)

The perimeter of a regular pentagon is 41.5 cm. Write and solve an equation to determine the length of each side of the pentagon.

Answers

Answer:

41.5÷5= the answer 8.3 cm

100+12+12+12+12+12+12=​

Answers

Answer:

172

Step-by-step explanation:

100+12+12+12+12+12+12=​

= 100 + 6(12)

= 172

Answer:

172

Step-by-step explanation:

The simple way to do this, would be to note that there are six pairs of twelve

this means that in those six pairs there are 72 ones

so what is 100+72?

172

If you wanted to check, you could do

100+12

112+12

124+12

136+12

148+12

160+12

172

f(x) = 10x - 7 what is f (0)

Answers

f(x)=10x-7
f(0)=10(0)-7
f(0)=(0)-7
f(0)=-7

what are the domain and range of the function f(x)=2^x+1?​

Answers

Answer:

Step-by-step explanation:

Are vertical angles always complementary?

Answers

Answer:

1 Answer. Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Complementary angles are those that sum up to 90o . Vertical angles have equal measures. Therefore, if vertical angles measure 45o each, they are complementary.

x/42=15/7? proportion

Answers

Answer: x=90

Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.

x

42

=

15

7

Step 1: Cross-multiply.

x

42

=

15

7

x*(7)=(15)*(42)

7x=630

Step 2: Divide both sides by 7.

7x

7

=

630

7

x=90

Answer:

x = 90

Step-by-step explanation:

7x = 42 * 15 = 630

x = 630/7

x = 90

set up and solve an equation for the following scenario in a food processing facility there is a large vat that must be filled halfway with water which is 72 inches the vat fills up with water at 0.2 inches per minute if the water is already at 9 inches how long will it take until the vat reaches halfway

Answers

it will take 314 minutes ro fill the vat halfway

I havvevee3 no idea what the answer isss HELP MEEEEEEEEEEEEEEEE​

Answers

The answer is: x^5
Good luck on the homework

Simplify the expression.
3 +22= 2 + 3

Answers

Hey there!

ANSWER: [tex]25=5[/tex]EXPLANATION:

[tex]3+22=2+3[/tex]

So let's first add 3 + 22.

[tex]3+22=25[/tex]

Now we have to add 2 + 3.

[tex]2+3=5[/tex]

So that means the answer to this is:

[tex]25=5[/tex]

This is false because [tex]25[/tex] is not equal to [tex]5[/tex].

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer is 25=5 ….....

RS bisects TU at Q. If TQ=5k-9 and QU=15-x

Answers

Answer:

x = 4, TU = 22

Step-by-step explanation:

Given that TS bisects TU at Q , then

TQ = QU , substitute values

5x - 9 = 15 - x ( add x to both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

Thus

TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22

Please help me! I don’t get these

Answers

Answer:

search it up

Step-by-step explanation:

5- 4x + 2 = 27
Need help

Answers

Answer:

5-4x +2 =27

7-4x = 27

-4x = 27 -7

-x = 20/4

-x = 5

x= -5

Step-by-step explanation:

5- 4x + 2 = 27

-4x=20

x=-5

Given f(x) = | – 5 – 4x| ,find the following:
f(- 10) =

f(-11) =

f(12) =

f(2)=

Answers

Answer:

[tex]f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13[/tex]

Step-by-step explanation:

[tex] f(x) = | - 5 - 4x| [/tex]

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

NB: Absolute value of a negative number is the same number but positive.

So we have

[tex]f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13[/tex]

Hope this helps you

Answer:

f(-10)=35

f(-11)=39

f(12)=53

f(2)=13

plz put brainliest

-3(1 + 6r) = 14-r
Solve for r

Answers

Answer:

1

Step-by-step explanation:

-3(1+6r)=14-r

use distributive property

-3(1)+(-3)(6r)=14-r

-3+18r=14-r

r+18r=14+3

19r=17

divide both sides by 19

0.89473684210526

round to the nearest whole #

1

I’m Pretty Sure The Answer Is Negative One (-1)

What is the the simplified form of the following expression? 5(t-1)
A t + (-5)
B 6t
C 5t + (-5)
D 5t + (-1)​

Answers

to simplify the equation, use the rainbow method,
5(t-1), we multiply 5 by t first to get 5t
then, multiply 5 by -1 to get -5.

hence, 5(t-1) = 5t-5, which is equal to 5t + (-5).
so your answer is C


What is the slope of the line 4x – 2y = 5?

Answers

Answer:

y =2 x − 5/ 2

Find the value of x.
to
33°
38

Answers

The value of x is 109°
You start off by finding out if the triangle is a 90 or 180 angle
This triangle is 180
So now you add together 33 and 38
Subtract 180 and the total you got from 33 and 38 (it’s 71)
Now you found the total of X- 109 degrees


Hope this helped love, Have a nice day or night! :)


Kirk finds a dog leash with a price tag of $24 at a pet store.
The leash is 10% off the original price. He must also pay 6%
sales tax. What is the total cost of the leash?
Select one:
00)
$22.90
O.
o
1)
$24.82
O
$21.60
$25,44

Answers

The answer is $22.90


Solve using proportions.
Subtract when taking off money to the price.
And Add when adding more to the price

The total cost of the leash will be $22.90. The correct option is A.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Kirk finds a dog leash with a price tag of $24 at a pet store. The leash is 10% off the original price. He must also pay 6% sales tax.

The cost after 10% off is:-

Cost = 24 - 24 x ( 10 / 100 )

Cost = 24 - 2.4

Cost = 21.6

Total cost after 6% sales tax = 21.6 + ( 21.6 x 0.06)

Total cost after 6% sales tax = 21.6 + 1.296 = $22.9

Therefore, the total cost of the leash will be $22.90. The correct option is A.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

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