Question

Function 1 is represented in the table below. It shows the amount of money, y, in dollars, that Greg earns after he mows x of his neighbors’ lawns this weekend.
Function 2, y = 8x represents the amount of money, y, in dollars, that Myesha earns after she babysits for x hours this weekend.

Which is a correct interpretation of the rates of change of these functions?

A) Myesha earns more money this weekend than Greg does.
B) Greg earns more money this weekend than Myesha does.
C) Myesha makes more money per hour babysitting than Greg makes per lawn he mows.
D) Greg makes more money per lawn he mows than Myesha makes per hour babysitting

Answer 1

Answer:

D) Greg makes more money per lawn he mows than Myesha makes per hour babysitting

Step-by-step explanation:

Find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{-36 + 48}{-3 + 4} = \frac{12}{1} = 12$

y = 12x

This clearly tells you that Greg makes more per lawn mowed.

I am joyous to assist you anytime.

** Both functions are what is known as Direct Variation.