Question

If Sarah works at the concession stand for 2 hours, she’ll earn $ 15.50, but if she works for 4 hours, she’ll earn $ 31. Find the rate of change ?

Answer 1

$15.50/(2 h) = $7.75/h = $31.00/(4 h)

Sarah makes $7.75 per hour.

_____

While you might be interested in hours per dollar, the customary way to express earnings is in dollars per hour. Either is a "rate of change."

Answer 2

Answer:

the rate of change is 7.75 dollars per hour

Step-by-step explanation:

If Sarah works at the concession stand for 2 hours, she’ll earn $ 15.50,

but if she works for 4 hours, she’ll earn $ 31

For 2 hours , she earns 15.50 (2,15.50)

For 4 hours she earns 31  (4,31)

to find rate of change we apply slope formula

$slope = \frac{y_2-y_1}{x_2-x_1}$

$slope = \frac{31-15.5}{4-2}$

slope = 7.75

So the rate of change is 7.75 dollars per hour