Question

Megan plans to repair a certain number of pairs of shoes next week at work. The graph below represents her plans.

SHOES REPAIRED
sol
40
30
Number of
Pairs of Shoes
20
10
0
5 10 15 20 30
Time (hours)
At what unit rate does Megan plan to repair shoes?
А 15 pairs per hour
B 0 pair per hour
C 5 pairs per hour
D 3 pairs per hour

Answer 1

To determine the unit rate at which Megan plans to repair shoes, we find the slope of the line on the graph. The slope represents the rate of change between two points. Megan plans to repair shoes at a rate of 2/3 pairs per hour.

Step-by-step explanation:

To determine the unit rate at which Megan plans to repair shoes, we need to find the slope of the line in the graph. The slope represents the rate of change between two points.

In this case, we can choose any two points on the line. Let's choose the points (0,20) and (30,40). Using the formula for slope, which is change in y divided by change in x, we calculate:

slope = (40-20)/(30-0) = 20/30 = 2/3

Therefore, Megan plans to repair shoes at a rate of 2/3 pairs per hour.