Question

a bus travels 25 miles in 30 minutes. which graph has a slope that best represents the number of miles per minute the bus travels?

a

bus speed

distance (mi)

0 10 20 30 40 50

time (min)

b

bus speed

distance (mi)

0 10 20 30 40 50

time (min)

Explanation:

Step1: Calculate speed (slope)

The speed is miles per minute, so compute $\frac{\text{distance}}{\text{time}} = \frac{25}{30} = \frac{5}{6} \approx 0.833$ miles per minute.

Step2: Check slope of Graph A

For Graph A, at $x=30$ min, $y=30$ mi. Slope = $\frac{30}{30} = 1$ mi/min.

Step3: Check slope of Graph B

For Graph B, at $x=30$ min, $y=25$ mi. Slope = $\frac{25}{30} = \frac{5}{6} \approx 0.833$ mi/min.

Answer:

B. Bus Speed graph where at 30 minutes, distance is 25 miles