Question

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.

Answer 1

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = $\frac{\text{Distance traveled}}{\text{Time}}$

                           = $\frac{210}{3.5}$

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = $\frac{\text{Distance traveled}}{\text{Time}}$

                                             = $\frac{60}{1}$

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.