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

Question

Mathematics

Fernando Lamb

26 August, 05:03

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

+3

Answers (1)

Know the Answer?

Kara Hicks · Answer 1

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

Step-by-step 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.