Question

Two sisters decide to take a series of acting lessons. One decides to pay a flat rate of $75, shown as f(x). The other just wants to pay $5.00 per lesson, shown as g(x). Which function shows the correct combination of these two functions to represent the amount the parent should pay, shown as h(x)? f(x) = 75, g(x) = 5x, h(x) = 5x + 75

f(x) = 75x, g(x) = 5, h(x) = 75x + 5

f(x) = 75, g(x) = 5, h(x) = 5 + 75

f(x) = 75x, g(x) = 5x, h(x) = 75x + 5x

Answer 1

The answer is 5x + 75.

Answer 2

The answer is f(x) = 75, g(x) = 5x, h(x) = 5x + 75

Let x be the number of lessons.

The flat rate of $75 as function f(x) can be expressed as: f(x) = 75
$5.00 per lesson x as function g(x) can be expressed as: g(x) = 5x

The combination of two functions (f(x) and g(x)) is the amount the parent should pay:
h(x) = g(x) + f(x)
h(x) = 5x + 75