Question

which statement best explains who earns the most money per item sold?
dreya earns the most money per item sold because her line begins at a higher point than marshas.
marsha earns the most money per item sold because her line begins at a higher point than dreyas.
dreya earns the most money per item sold because her line increases at a faster rate than marshas.
marsha earns the most money per item sold because her line increases at a faster rate than dreyas.

Explanation:

To determine who earns the most money per item sold, we analyze the slope of the lines (since "money per item" is the unit rate, represented by the slope in a graph of money vs. items sold). A steeper slope means a higher unit rate (more money per item).

• The first option says Dreyas line increases faster (steeper slope), so she earns more per item.
• The second option about Marsha’s line increasing faster is incorrect (steeper slope is better for per - item earnings, and if Dreyas line is steeper, Marsha’s isn’t).
• The third option about starting point (y - intercept) is about total money at 0 items, not per - item rate.
• The fourth option is also about starting point, not per - item rate.

Answer:

A. Drey a earns the most money per item sold because her line increases at a faster rate than Marsha’s.