Question

Eric and Leo are racing to see who can get his community service hours for scouting completed first. Eric, who has already completed 10 hours, plans to volunteer for 1 hour per week going forward. Leo hasn't started yet, but plans to dedicate 2 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. Graph the system of equations, and mark the point of intersection. In a graph yo show they answers

Answer 1

Eric's equation is

`y=10+x`

Because he already completed 10 hours, and it's going to complete more hours at a rate of 1 hour per week, where x is weeks.

Leo's equation is

`y=2x`

Because he's going to complete hours at a rate of 2 hours per week.

Now, we graph the system using a calculator, as the image below shows

As you can observe, the point of intersection is (10,20), which means they will have the same worked hours after 10 weeks.