Question

Karen wants to join Buff Gym. There is a $100 initiation fee, and then a $40 monthly fee.

A) Determine the equation that expresses the cost of joining this gym for x months
B) Find the inverse function of the equation for part A

Answer 1

A) y= 40x+100

B)
`y=(x-100)/(40)`

Explanation:

To solve this, we can set up an equation using y=mx+b.

'b' is the initial cost, whereas 'm' is the monthly cost. This gives us the equation:

A): y=40x+100.

For part B, we can solve for the inverse by switching the x and y. This gives us:

x= 40y+100

Now, continue simplifying to isolate the 'y' on a side:

x-100=40y

`y=(x-100)/(40)`