Question

(a)

A landscaping company is hired to mow the grass for several large properties. The total area of the properties is 1,350 acres.

This siuation can be modeled by ŷ = 1350 – 1.2x, where x is the number of hours and ŷ represents the number of acres left to mow.



Part A

How many acres are left to mow after 20 hours of work?

(b)

Part B

How many hours does it take to mow all the lawns?

Answer 1

Part A: ŷ = 1350 − 1.2(20) = 1350 − 24 = 1326 acres left.

Part B: Set ŷ = 0: 1350 − 1.2x = 0 ⇒ x = 1350 ÷ 1.2 = 1125 hours.