Question

George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.The table shows their price structures. An equation representing George’s charges is written in the chart.
Landscaping Cost
George
Chin
George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours.
3x+3y=90


What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours?

A. 4x-2y=84

B. 2x-4y=90

C. 2x+4y=84

D. 4x+2y=90

answer if you can, thank you for your help.

Answer 1

The equation must equal 84, so you can eliminate B and D.

Chin charges a rate for 2 hours, then charges a reduced rate for 4 hours. There are no discounts present in his rate, so you can eliminate A.

The equation for Chin's charges can be found by the equation C. 2x + 4y = 84.

Answer 2

The best choice is C