Question

Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t − 1.25| shows Mia’s distance from the river d, in miles, after t hours. The domain of the function is 0 ≤ x ≤ 2.5. The graph shows her entire trip.

A graph showing time in hours on the x axis and distance from the river in miles on the y axis. The graph is a V shape with vertex at 1 point 2 5 comma zero and passing through the points zero comma 50 and 2 point 5 comma 50.

Complete each sentence to make a true statement.

Mia’s distance from the river is decreasing in the interval
< t <
.

Mia drives
miles to the beach.

Answer 1

Mia’s distance from the river is decreasing in the interval 0 < t < 1.25.

Mia drives 100 miles to the beach. (She goes from 50 miles from the river to the river, then 50 miles to the other side: 50 + 50 = 100.)