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

Question

Mathematics

Minnie

26 September, 08:06

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

+4

Answers (1)

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Loosetooth · Answer 1

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