Question

The function f(x) = 60x + 4 represents the amount of money Mike earns making custom tables. The function g(x) = 2x - 4 represents his upfront costs. Find (f/g) (4) to determine how much profit he will make from four tables.

A) $8
B) $61
C) $240
D) $244

Answer 1

B) $61

Explanation:

Given the functions f(x) = 60x+4 and g(x) = 2x-4

(f/g) = 60x+4/2x-4

(f/g) (4) will be gotten by substituting the value of x as 4 in the function (f/g)

(f/g) (4) = 60(4)+4/2(4)-4

(f/g) (4) = 240+4/8-4

(f/g) (4) = 244/4

(f/g) (4) = $61

This shows that mike will make a profit of $61 from the four tables.

Answer 2

$244

Explanation:

f(x) = 60x + 4 and g(x) = 2x-4

We are told to find f(g=4), when Mike makes four tables.

We have to put replace x in f(x) with the value g(x) when x is 4, like this:

f(x) = 60x + 4 // Replace x with g(x) = 2x-4

f(x) = 60(2x-4) + 4

f(x) = (120x - 240) + 4 // Solve

f(x) = (120*4 - 240) +4 // They tell us x=4

f(x) = 480 - 240 + 4 = $244