Question

The rent for an apartment is represented by R(a) = 2.00a + 50.00, where a is the area of the apartment in square feet. The rent increases by $50.00 when the apartment is furnished. Identify the new function S(a) for the rent of a furnished apartment and the transformation that has been applied.

Answer 1

S(a) = 2.00a + 100.00; shift 50 units up

Answer 2

The new function
`S(a)` for the rent of a furnished apartment will be
`S(a)=2.00a+100.00`

Explanation:

Hi

As the rent for an apartment is represented by
`R(a) = 2.00a + 50.00`, where a is the area of the apartment in square feet, the new function will be the result of adding it $50.00 due to the increased rent when the apartment is furnished, so
`S(a)=R(a)+50.00`, therefore

`S(a)=2.00a+50.00+50.00\\S(a)=2.00a+100.00`

That is the new function
`S(a)` for the rent of a furnished apartment