The amount of money Theresa earns at her job varies directly with the number of hours she works. This means that her earnings are proportional with the time she works. She knows that when she works $2$ hours, she earns $\$12$. When she works $3$ hours, she earns $\$18$. Homework Help ✎

1. How much do you predict Theresa would earn after working $5$ hours?

   Hint (a):

   How much does she make in $1$ hour? Multiply this value by $5$ to find how much she makes in $5$ hours.

   More Help (a):

   You could also use a proportion to solve this problem.

2. Use the unit rate to explain how can you find Theresa’s earnings ($y$) if she works for $x$ hours.

   Hint (b):

   The unit rate is $\$6$.

   Answer (b):

   After $x$ hours, she earns $6x$ dollars.
   $y=6x$

3. Create a complete graph of Theresa’s earnings over time. Should the graph be continuous or discrete? Explain your decision.

   Hint (c):

   Substitute numbers for $x$ and solve for $y$. Plot these points on a graph.