Question

Joey has been mowing his dad's lawn every week indefinitely because his

dad gave him $500 upfront. Joey's neighbors realized what a great job he
was doing and offered to pay Joey $10 per week to mow their lawn as well.
Can the money Joey makes mowing lawns be represented by a linear,
quadratic, or exponential function? If so, which type of function models his
earnings? Write an equation to represent Joey's earnings (y) over time in
weeks (x).

Answer 1

The money he makes mowing lawn can be represented by a linear function.

The function can be represented in the slope-intercept form.

the equation of the function is y=500+10x

where

y=amount of money he has earned by mowing lawns.

x=number of lawn mowing clients he has.

Explanation:

It can be represented by a linear function (straight line) because the additional amounts are proportional to the number of clients he has.

The equation is

y=500+10x

where

y=amount of money he has

x=number of lawn mowing client he has.