The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function f (x) = 12x.

The profit, in thousands of dollars, from online streaming of the same TV show over x months is given by the function g (x) = 10 (1.2) x.

Which function best describes the total profit from the TV show over x months, and after how many months will the profit be approximately $68,736?

A) h (x) = 22x (1.2) x

x = 2 months

B) h (x) = 2 (6 (1.2) x + 5x)

x = 4 months

C) h (x) = 2 (5 (1.2) x + 6x)

x = 4 months

D) h (x) = 2 (5 (1.2) x - 6x)

x = 18 months

Question

Kyla Richardson

Mathematics

24 January, 13:54

The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function f (x) = 12x.

The profit, in thousands of dollars, from online streaming of the same TV show over x months is given by the function g (x) = 10 (1.2) x.

Which function best describes the total profit from the TV show over x months, and after how many months will the profit be approximately $68,736?

A) h (x) = 22x (1.2) x

x = 2 months

B) h (x) = 2 (6 (1.2) x + 5x)

x = 4 months

C) h (x) = 2 (5 (1.2) x + 6x)

x = 4 months

D) h (x) = 2 (5 (1.2) x - 6x)

x = 18 months

+5

Answers (1)

Know the Answer?

Kierra Ellison · Answer 1

All you need to do is find (f+g) x = (12x) + (10 (1.2) X) which = 24x

then in the multiple choice, see which one equals 24x, in this case its C.

5*1.2=6, 6x+6x = 12x*2 = 24x