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

Answer:

Jeff mows 9 yards of lawn in 30 minutes

Step-by-step 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

$\implies \frac{2n}{2}=\frac{18}{2}$

$\implies n=9$

Hence Jeff mows 9 yards of lawn in 30 minutes.