Question

You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write an equation that represents the percent y of the lawn that still needs mowed after x minutes.

Y=__________

It takes ___ minutes to mow the lawn

Answer 1

So this is a variation problem,

Area of the lawn mowed is directly proportional to the time of mowing

A = aT

48 = a12

Solve the proportionality constant

A = 4

So the equation is

Y = 4x

And time it takes 52% to mown

T = 52/4 = 13 min

Total 12 + 13 = 15 min