Two cars are traveling along the same highway. The distance, d, in miles, from San Francisco after h hours spent driving is described for each car below.
Car A:
Car B:
h d
0 60
2 160
4 260
Which statements are true? Select TWO that apply.
A.
Car A is traveling at the same rate, in miles per hour, as car B.
B.
Car A is traveling at a faster rate, in miles per hour, than car B.
C.
Car A is traveling at a slower rate, in miles per hour, than car B.
D.
Car A is originally closer to San Francisco than car B.
E.
Car A is originally at the same distance from San Francisco as car B.
The rate at which each car is traveling can be found by dividing the change in distance by the change in time.
For car A, the change in distance is 60 miles (d = 60) when the change in time is 2 hours (h = 2), so the rate is 60 miles / 2 hours = 30 miles per hour.
For car B, the change in distance is 160 miles (d = 160) when the change in time is 2 hours (h = 2), so the rate is 160 miles / 2 hours = 80 miles per hour.
Therefore, car B is traveling at a faster rate than car A.
By looking at the initial distances for each car (when h = 0), we can see that Car A is originally closer to San Francisco than car B.
So the correct statements are:
B. Car A is traveling at a faster rate, in miles per hour, than car B.
D. Car A is originally closer to San Francisco than car B.