Question

Two turtles, Velma and Justine, were entered into a race.

The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.



Based on the equation and graph, which two statements below are true?


A.Justine is twice as fast as Velma.


B. Justine is half as fast as Velma.


C. Justine and Velma have the same speed.


D. Justine moves a greater distance than Velma each minute.


E. Justine moves a shorter distance than Velma each minute.

Answer 1

Explanation:

B and E

Answer 2

B and E

Explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.