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 [tex]t=2n+12[/tex], 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.
[tex]\implies 2n+12=30[/tex]
Add -12 to both sides:
[tex]\implies 2n=30-12[/tex]
[tex]\implies 2n=18[/tex]
Divide both sides by 2
[tex]\implies \frac{2n}{2}=\frac{18}{2}[/tex]
[tex]\implies n=9[/tex]
Hence Jeff mows 9 yards of lawn in 30 minutes.
