Jacob is going on a road trip across the country. He covers 10 miles in 15 minutes. He then spends 10 minutes buying gas and some snacks at the gas station. He then continues on his road trip.
Describe the distance traveled between 10 minutes and 15 minutes.
The piecewise function represents time in minutes on the x-axis and distance in miles on y-axis. The function starts from (0, 0), (15, 10), (25, 10), and (50, 30).
A.
The distance traveled between 10 minutes and 15 minutes is increasing.
B.
The distance traveled between 10 minutes and 15 minutes is decreasing.
C.
The distance traveled between 10 minutes and 15 minutes cannot be determined from the given information.
D.
The distance traveled between 10 minutes and 15 minutes is constant.
D. The distance traveled between 10 minutes and 15 minutes is constant.
According to the information given, Jacob covers 10 miles in 15 minutes. Therefore, the rate of travel is 10 miles / 15 minutes, which simplifies to 2/3 miles per minute.
Thus, for every additional minute after the initial 15 minutes, Jacob travels an additional 2/3 miles. This means that the distance traveled between 10 minutes and 15 minutes is constant at 2/3 miles.