Question

A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph represents the lifeguard's weekly earnings in dollars for working h hours over 40?

Answer 1

For working h hours over 40, the lifeguard earns 12h dollars.

Then for h = 20 hours over 40, the lifegurad earns:

12(20) = 240

However, it is necessary to take into account that the life guard earns $320 per week for working 40 hours.

Then, the total amount of money he earns is:

320 + 240 = 560

The line that best represent the previous calculations is the graph G.

THere you can notice that for h=0 hours after 40 the earning are 320, and for h=20 hours the earning are 560.