Question

Shilpa's gym membership includes a one-time fee of $20. She then pays a discounted fee of $5 for each visit. The function that shows her average cost after x visits is: Recall the general form of a rational function: Which statement defines the horizontal asymptote? m < n, so y = 0 is the horizontal asymptote. m = n, so y = am / bn is the horizontal asymptote. m = n, so y = 0 is the horizontal asymptote. m > n, so there is no horizontal asymptote.

Answer 1

First one is B, Second is 5

Explanation:

got it right on edge

Answer 2

See explanation

Explanation:

Given

`Flat = 20`

`Visit = 5`

Required

The function to represent x visits

This is calculated as:

`f(x) = Flat + Visit * x`

So, we have:

`f(x) = 20 + 5 * x`

`f(x) = 20 + 5x`

The second question is incomplete; however, I will explain how to calculate the horizontal asymptote of a rational function.

For polynomials with the same degree (i.e. m = n), the horizontal asymptote is calculated by dividing the coefficients of the highest degrees.

e.g.

`f(x) = (6x^2 + 1)/(3x^2 + 4)` ---the degrees of both is 2

So, the horizontal asymptote is:

`y = 6/3`

`y =2`

If the numerator has a higher degree, then there is no horizontal asymptote.

If the denominator has a higher degree, then the horizontal asymptote is:

`y = 0`