Question

The amount of time (t) in minutes it takes Jeff to mow an average sized yard is related to (n) the number of yards he mows. The equation is t = 2n + 12. How many lawns does Jeff mow if it takes him 30 minutes?

Answer 1

Jeff mows 9 yards of lawn in 30 minutes

Explanation:

The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is
`t=2n+12`, where n is the number of yards he mows.

To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

`\implies 2n+12=30`

Add -12 to both sides:

`\implies 2n=30-12`

`\implies 2n=18`

Divide both sides by 2

`\implies (2n)/(2)=(18)/(2)`

`\implies n=9`

Hence Jeff mows 9 yards of lawn in 30 minutes.