The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:

A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.

Which of the following best describes the motion of the car shown?

It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

PLEASE HELP ASAP

Question

25-01-2022
Mathematics

contestada

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:

A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52.

Which of the following best describes the motion of the car shown?

It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

PLEASE HELP ASAP

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MrRoyal MrRoyal · Answer 1 · 2022-01-27T15:13:06+01:00

The statement that describes the motion of the car is (d) It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

How to interpret the graph

From the graph (see attachment), we have the following highlights

The line of the graph moves upward from x =0 to x = 2 i.e. 2 hours
The line of the graph stays horizontal from x = 2 to x = 3 i.e. 1 hour
The line of the graph then moves upward again from x =3 to x = 5 i.e. 2 hours

The above highlights mean that:

The car travels for 2 hours, stops for 1 hour, and then travels again for 2 hours.

Hence, the statement that describes the motion of the car is (d)