Question

Amelia competed in a race in which she ran at a constant speed. A graph that represents the relationship between the number of seconds Amelia ran, x, and the total distance she ran in meters, y, shows that in 15 seconds she ran 67.5 meters. What point could be on Amelia's graph?

A. (0, 4.5)
B(3, 13.5)
C ( 4.5,1
d (67.5,15

Answer 1

B (3, 13.5)

Explanation:

Using point (0,0) and (15, 67.5) we can find the slope(gradient).

(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)

= 67.5 / 15 = 4.5

slope = 4.5

using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.

using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.