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.

The point (3.5,210) is on the graph. Explain what this means in terms of the car.
Is the point (1,60) on this graph? Explain how you know.

Answer 1

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}}`

=
`(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}}`

=
`(60)/(1)`

= 60 mph

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