Question

When Carrie mows a lawn, she charges a flat fee of $5 plus an hourly rate, r. Carrie worked 2 hours at her last job. The equation 2r+5=20 represents, in dollars, what Carrie charged. What is Carrie's hourly rate?

Answer 1

Carrie's hourly rate = $7.5 per hour.

Explanation:

Flat fee charged by Carrie = $5

Hourly rate charged by Carries is given =
`\$r` per hour

Working 2 hours at job, the equation that represents amount charged by Carrie is given by:

`2r+5=20`

Evaluating the above equation to find Carrie's hourly rate
`r`

Subtracting both sides by 5.

`2r+5-5=20-5`

`2r=15`

Dividing both sides by 2.

`(2r)/(2)=(15)/(2)`

∴
`r=7.5`

∴ Carrie's hourly rate = $7.5 per hour.