Question

Jordan walks at a constant speed. This graph represents the relationships between the time, in hours, and distance, in miles, she walks. Which pair of coordinates on the graph shows how far Jordan walks per hour?

A) (2, 3)
B) (3, 2)
C) (1, 1.5)
D) (1.5, 1)

Answer 1

The pair of coordinates that shows how far Jordan walks per hour is (2, 3), with a slope of 1.5 miles per hour.

Step-by-step explanation:

The pair of coordinates that shows how far Jordan walks per hour can be found by looking at the slope of the graph. The slope represents the rate of change in distance with respect to time, which can be interpreted as Jordan's speed. So, we need to find the coordinates that have a slope equal to Jordan's speed.

To calculate the slope, we can use the formula: slope = (change in distance) / (change in time). By examining the given options, we can see that the pair of coordinates that satisfies this equation is (2, 3).

At the point (2, 3), the change in distance is 3 miles and the change in time is 2 hours. Therefore, the slope of the graph at this point is 3/2 = 1.5 miles per hour, which represents Jordan's speed.