Question

Christi gives multiple demonstrations for two different cooking techniques each day at a local grocery store. The amount she earns for her seafood demos is given by f(x) = 85x - 21 where x represents the number of days. The amount she earns for her cake decorating demos is given by g(x) = 120x - 35.

Which function best represents, h, the total amount Christi earns after x days?

A.
h(x) = 205x - 56
B.
h(x) = 35x - 14
C.
h(x) = (85x - 21)(120x - 35)
D.
h(x) = 205x + 14

Answer 1

Answer: A. h(x) = 205x - 56

Explanation:

Since, According to the question,

The amount she earns for her seafood demos is given by f(x) = 85x - 21 where x represents the number of days.

And, The amount she earns for her cake decorating demos is given by g(x) = 120x - 35.

Therefore if h(x) represents total amount she earns in x days.

Then h(x)= f(x)+g(x)=85 x - 21 + 120 x - 35=205 x-56

⇒h(x)=205 x-56

Thus, Option A is correct.