4) Get Fit Headquarters charges $40 per month and $3 per exercise class. Fit Planet charges $20 per month and $8 per exercise class. After how many exercise classes
will the monthly cost be the same at each gym? What will that cost be?

After 4 exercise classes, the monthly cost will be the same at each gym

The cost will be $52

Step-by-step explanation:

Assume that the number of the exercise classes is x

∵ Get Fit Headquarters charges $40 per month and $3 per exercise class

∵ The number of the exercise classes is x

→ Add $40 to the product of x and $3 to get the monthly cost

∴ The monthly cost of Get Fit = 3x + 40

∵ Fit Planet charges $20 per month and $8 per exercise class

∵ The number of the exercise classes is x

→ Add $20 to the product of x and $8 to get the monthly cost

∴ The monthly cost of Fit Planet = 8x + 20

∵ They have the same monthly cost

→ Equate their monthly cost to find x

∴ 8x + 20 = 3x + 40

→ Subtract 3x from both sides

∵ 8x - 3x + 20 = 3x - 3x + 40

∴ 5x + 20 = 40

→ Subtract 20 from both sides

∵ 5x + 20 - 20 = 40 - 20

∴ 5x = 20

→ Divide both sides by 5

∴ x = 4

∵ x is the number of the exercise classes

∴ After 4 exercise classes the monthly cost will be the same at each gym

→ Substitute the value of x in one of the monthly cost to get it

∵ The monthly cost of the Get Fit = 3(4) + 40

∴ The monthly cost of the Get Fit = 12  +40

∴ The monthly cost of the Get Fit = 52

∴ The cost will be $52

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.