The total membership cost in dollars, y, at World Fitness Health Club can be represented by the following graph, where x is the number of months of membership. Use the graph to create a linear function when the one time registration fee is $25.

At Purple Experiment Health Club, a member pays y dollars, which includes a one-time registration fee of $15 plus $20 each month, x, they are a member.

Which club will be least expensive if John plans to attend for 8 months?

World Fitness because after 8 months John would have paid $145.

Purple Experiment because after 8 months John would have paid $145.

World Fitness because after 8 months John would have paid $175.

Purple Experiment because after 8 months John would have paid $175.

Answer:

A. World Fitness because after 8 months John would have paid $145.

Step-by-sep explanation:

✍️To create a linear equation in the slope-intercept form, [tex] y = mx + b [/tex], we need to determine the value of m and b, using the information provided.

World Fitness Health Club:

Total membership cost in dollars = y

number of months = x

b = y-intercept, which represents the one-time registration fee = $25 (this is where the line intercepts the y-axis)

m = slope of the line of the graph which represents the charges per month.

Using the points on the line, (1, 40) and (3, 70), calculate the value of m.

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{70 - 40}{3 - 1} = \frac{30}{2} = 15 [/tex]

Substitute m = 15, and b = 25 into [tex] y = mx + b [/tex].

Thus, the linear equation representing total membership cost for World Fitness Health Club would be:

[tex] y = 15x + 25 [/tex].

✍️Let's create a linear equation for Purple Experiment Health Club also using the information provided in the question:

Charges per month (m) = 20

One-time registration fee/Y-intercept (b) = 15

Substitute m = 20 and b = 15 into [tex] y = mx + b [/tex].

Thus, the linear equation representing total membership cost for Purple Experiment Health Club would be:

[tex] y = 20x + 15 [/tex].

✍️To determine the club that will be least expensive if John plans to attend for 8 months, find the total cost (y) for each fitness club by substituting x = 8 into each of the linear equation created:

✅Total membership cost for World Fitness Health Club would be:

[tex] y = 15x + 25 [/tex]

Plug in the value of x

[tex] y = 15(8) + 25 = 120 + 25 [/tex]

[tex] y = 145 [/tex]

It would cost John $145 if he attends World Fitness Health Club for 8 months.

✅Total membership cost for Purple Experiment Health Club would be:

[tex] y = 20x + 15 [/tex]

Plug in the value of x

[tex] y = 20(8) + 15 = 160 + 15 [/tex]

[tex] y = 175 [/tex]

It would cost John $175 if he attends Purple Experiment Health Club for 8 months.

✅Therefore, World Fitness Health Club will be least expensive if John plans to attend for 8 months.

The answer: "World Fitness because after 8 months John would have paid $145."

HELP!!!!!! does anyone know the answers to e2020 geometry a and b final exam?????? or where to find them? ive searched each question and nothing comes up!!!!!

Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Use the variable, n, to write an expression for seven less than a number.

does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.

what is the difference of 1/5 - 3/4

please help me :((((

Show how to find the following product using a diagram
1/4 × 2/3​

I need help for this

Given:3x-4=8 prove x=4

PLEASE HELP!

Mr tang created a number line for his class to use. which point is a representation of -(-3)?

A) Point A
B) Point B
C) Point C
D) Point D

The weights, in pounds, of the cats in an animal adoption center are normally distributed. If a random sample of cats is taken and the confidence interval is (7.9,12.7), what is the margin of error?
Give a numerical response for your answer. For example, if you found that the margin of error was 2, you would enter 2.

Please help me I am confused

Answer this pleaseeee

Factor the expression completely.
27x - 72

Each day at the bakery, Jack bakes cakes and helps out at the counter.
What does the y-intercept of a trend line for this data represent?
Group of answer choices

total time spent baking cakes

average number of cakes per hour Jack can bake

average time it takes to bake one cake

average number of hours Jack works each day

If each of the 4 shelves holds 12 movies, how many movies does Betty have on her shelving unit? Show your work.

Explain how to find the slope of the line. And explain answer

What is 789 times 26372

A sink is leaking 2 mL every 24
minutes. How much water will it
leak in 9 minutes?

Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D

Please help with this question.

What is the area of the unshaded portion of this figure?​

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Is is 24, 15, 23 or 33

A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)​

CoolTown is having a big chili cook-off and Jeff, Maggi and Heath are all going to enter. Their secret recipes all use chili powder but in different measures. They each have a 8 ounce jar of chili powder. * Jeff uses 17% of the total powder in the jar. * Maggi uses 0.7 ounces of the total powder in the jar. * Heath uses .18 of the total powder in the jar. Who's recipe uses the most chili powder? Show your work and explain your answer in full sentences.

.............helppppppppppppppppppp

MMM HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.

Select three ratios that are equivalent to 5:2. Choose 3 answers:
А 2 : 5
B 10:4
C 20 : 50
D 35 : 14
E 55 : 22​