A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph



7. the independent and dependent variables


8. the domain and range


9. Interpret the slope and y-intercept values


10. How much will the membership cost for a whole year?

Answers

Answer 1

6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Related Questions

Can someone help me with math pls no links pls I lost a lot of points because someone put a link . THANK YOU

Answers

Answer:

15

Explanation:

The common denominator for 2/3 and 3/5

Answer:

The answer is 15.

LCD = 15

Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.

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Answer:

Step-by-step explanation:

DO NOT SEND LINKS OR I'LL REPORT! Find the value of X, it's a parallelogram. Offering 50 points

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Answer:Whats the question or add a picture

Answer:

127 degree I guess because I don't see a picture

Step-by-step explanation:

is the picture showing 53 degrees

Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

1. Subtract the linear expressions.

(45x−5)−(13x+4)

What is the difference?

Enter your answer in the box. Enter fractions as simplified fractions.

2. Add the two expressions.

−2.4n−3 and −7.8n+2

Enter your answer in the box.

3. Subtract the linear expressions.

(−3.6x+9.4)−(1.9x+3.6)

What is the difference?

Enter your answer in the box.

4. Subtract 5x−2 ​​from​ −3x+4 .


A.2x + 2

B.8x−6

C.−8x+6

D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest

Answers

[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]

What is considered an exponential monthly growth rate.

Answers

The Answer equals 1.9%

NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6


The r/3 is not division.. its a fraction. thx

Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much

Answers

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an

average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?

Answers

Answer:

Mr Burkett travelled 407.5 miles during his full trip.

Step-by-step explanation:

First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.

In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.

Finally, we can just add them! 245 + 162.5 = 407.5.

PLEASR HELP MEEEE ASAP​

Answers

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3

Answers

Answer:

a.

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!

2385/3498=15/22

3945/5786=15/22

2340/3588≠15/22

2480/3410≠15/22

4650/6820≠15/22

2310/3696=15/22

What trig function and angle is equivalent to sin(270°)?

Answers

Answer:

θradians sin(θ)

3π/2 -1

Step-by-step explanation:

leave a thanks if helped pls <3

The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,

sin(270°) = sin(3π/2)  = -1

Also, if the trigonometric function is needed to be changed then we can write,

sin(3π/2) = cos(π) = cos(180°) = -1

Hence, the trigonometric function and angle are equivalent to sin(270°).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}

Answers

Answer:

yes

Step-by-step explanation:

Linear or nonlinear:
why?

Answers

non-linear because for each value of x you have more than one value of y.

Answer:

nonlinear

Step-by-step explanation:

it is basically the opposite of linear graph

This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line

How to calculate percentile.

Answers

Answer:

Step-by-step explanation:

Percentile Formula  

P = (n/N) × 100

Where,  

n = ordinal rank of the given value or value below the number

N = number of values in the data set  

P = percentile  

Or  

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

Answer:[tex]\frac{x}{x+....}[/tex]×100

Step-by-step explanation:

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

The force, f acting on a chraged object varies inversley to the square of its distance from another charged object. when the two objects are 0.64 meters apart, the force acting on them is 8.2 netwons

Answers

Btw also found a spelling mistake in the question:instead of newtons you put netwons-      lol-

btw  

Rounded to the nearest thousandth would be 4.444 Newtons (same units you solved for k with)

But anyway here you go:

~Jamie

A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.

Answers

Answer:

Step-by-step explanation:

Perimeter = P = 4a where a is each side of square

P = 4(353) = 1412

Area = a^2 where a is each side

A = (353)^2 = 124,609

Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..

Answers

3/4 a cup
I believe this is the answer

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

What is the absolute value of - 2 2/3

Answers

Answer:

2 2/3

Step-by-step explanation:

absolute value means the distance between a number and 0 so therefore the absolute value s 2  2/3

(x, 7) and (-7, 4); slope: 1

Answers

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?

Answers

Answer: 89 cm^2/minute

Step-by-step explanation:

Initial Area:                11 x 5 = 55 cm^2

Area after 1 minute:  18 x 8 = 144 cm^2

The area of the triangle is increasing by

Could someone please help me on this equation?

Answers

Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?

Answers

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

$843.36

Step-by-step explanation:

:))

the sum of 4√5+√5 is .......

Answers

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

mark as brialist pls

The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2

Answers

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

(3x-6)/(x^2+2) what is the answer

Answers

If you are asking to simplify the answer is

Can you help me find the answer

Answers

Answer:

quadrilateral

and

pentagon

Answer:

1. Trapezium

2.Pentagon

(Irregular)

solve the inequality 4x-3=2x+7

Answers

Answer: x=-2

Step-by-step explanation:

Add three to both sides of the equation

4x-3=2x+7

4−3+3=2−7+3

simplify

4=2−4

4−2=2x-4−2

simplify

2=−4

Divide both sides of the equation by the same term

2=−4

2/2=−4/2

=−2

Answer: x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.x=5

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