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.

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Answer:

The new function [tex]S(a)[/tex] for the rent of a furnished apartment will be [tex]S(a)=2.00a+100.00[/tex]

Step-by-step explanation:

Hi

As the rent for an apartment is represented by [tex]R(a) = 2.00a + 50.00[/tex], 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 [tex]S(a)=R(a)+50.00[/tex], therefore

[tex]S(a)=2.00a+50.00+50.00\\S(a)=2.00a+100.00[/tex]

That is the new function [tex]S(a)[/tex] for the rent of a furnished apartment

Answer:

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