Question

Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she worked at a company (x).

What is the rate of change in Erinn's hourly wage per year?

Answer 1

The rate of change in Erinn's hourly wage per year is
`1.25\$\ hour/year`

Explanation:

we have that

x ----> the time in years that she worked at a company

y ----> represent the hourly wage

`-5x+4y=32` ----> linear equation that represent the situation

Solve for y

`4y=5x+32`

`y=(5/4)x+32/4`

`y=1.25x+8`

The slope m of the linear equation is

`m=1.25\$\ hour/year`

The rate of change in Erinn's hourly wage per year is equal to the slope of the linear equation

so

The rate of change in Erinn's hourly wage per year is
`1.25\$\ hour/year`