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.
A) S(a) = 52.00a + 50.00; shift 50 units up
B) S(a) = 2.00a + 100.00; shift 50 units down
C) S(a) = 52.00a + 50.00; shift 50 units down
D) S(a) = 2.00a + 100.00; shift 50 units up

Answer 1

Answer:

The correct option is:  D)  S(a) = 2.00a + 100.00; shift 50 units up

Step-by-step explanation:

The rent for an apartment is represented by  $R(a) = 2.00a + 50.00$

Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be:  $(2.00a+50.00+50.00) = (2.00a+100.00) dollar$

Thus the new function will be:   $S(a)= 2.00a+100.00$

As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward.