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?

Respuesta :

Answer:

Carrie's hourly rate = $7.5 per hour.

Step-by-step explanation:

Flat fee charged by Carrie = $5

Hourly rate charged by Carries is given = [tex]\$r[/tex] per hour

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

[tex]2r+5=20[/tex]

Evaluating the above equation to find Carrie's hourly rate [tex]r[/tex]

Subtracting both sides by 5.

[tex]2r+5-5=20-5[/tex]

[tex]2r=15[/tex]

Dividing both sides by 2.

[tex]\frac{2r}{2}=\frac{15}{2}[/tex]

∴ [tex]r=7.5[/tex]

Carrie's hourly rate = $7.5 per hour.