Question

Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a function of time (in seconds). What is the significance of the y-intercept?

a) The number is seconds that Jack coasted.

b) The meters traveled after jack stopped pedaling.

c) The meters traveled before jack stopped pedaling.

d) The velocity of the bike when Jack stopped pedaling.

Answer 1

Option: d) is the correct answer.

d) The velocity of the bike when Jack stopped pedaling.

Explanation:

We know that the y-intercept is a point where the value of the independent variable or we may say the x-value is zero.

Hence, here the independent variable is time (in seconds) and the dependent variable is the velocity (in meters per second) of Jack.

Hence, the y-intercept here is the velocity of Jack when time is zero.

Hence, the y-intercept is the velocity of Jack as soon as he stopped pedaling.

Answer 2

Answer is option D

Explanation:

Given that Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (i

There is a table represening his velocity (in meters per second) as a function of time (in seconds

If we graph this table with time on x axis and velocity on y axis, we find that y intercept is the velocity when x=0

This is because y axis has equation as x=0. We substitute x=0 in the curve or from the table find y value for x =0

Thus the option a is not right as y value is not time in time.

b is not right as distance is not at all plotted in the graph

c is not right as metres travelled is distance which is not plotted at all

d is right as when he stops pedalling, at the start t =0 the velocity would be the y intercept at that time.