options: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
problem_activity: Task
Kell  works at an after-school program at an elementary school. The table below shows how much money he earned every day last week.
|              |  Monday   | Wednesday | Friday  |
|--------------|-----------|-----------|---------|
| Time worked  | 1.5 hours | 2.5 hours | 4 hours |
| Money earned |  \$12.60  |  \$21.00  | \$33.60 |
Mariko has a job mowing lawns that pays \$7 per hour.
Who would make more money for working 10 hours? Explain or show work.
Draw a graph that represents $y$, the amount of money Kell would make for working $x$ hours, assuming he made the same hourly rate he was making last week.
Using the same coordinate axes, draw a graph that represents $y$, the amount of money Mariko would make for working $x$ hours.
How can you see who makes more per hour just by looking at the graphs? Explain.


correct_option_index: 0