Question

Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x, and the number of hours Eva worked clearing tables last week, y. (graph this)

Answer 1

• tutoring: 2 hours
• clearing: 6 hours

Explanation:

The two equations you want to graph for your graphical solution are ...

16x +8y = 80 . . . . . . total earnings

y = 3x . . . . . . . . . . relation between clearing and tutoring hours

The attached graph shows the solution to be (x, y) = (2, 6).

Eva worked 2 hours tutoring and 6 hours clearing tables.