Question

The graph models the speed of a car over a function of time during a 3-hour trip. How far did the car go over the course of the trip?

There is a nice way to visualize this quantity in terms of the graph. If you find it, it will help you solve this problem.

The car traveled a total of ____
miles.

Answer 1

The total distance travelled by the car is 80 miles.

Speed

Speed is the ratio of total distance to total time. It is given by the formula:

Speed = distance / time

From the graph:

Distance = speed * time

Total distance = 20 mph * 1 hour + (30 mph * (90 - 60)/60 hour) + (50 mph * (120 - 90)/60 hour) + (40 mph * (135 - 120)/60 hour) + (20 mph * (150 - 135)/60 hour) + (10 mph * (180 - 150)/60 hour) = 80 miles

The total distance travelled by the car is 80 miles.

Find out more on Speed at: https://brainly.com/question/4931057