Q:

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.

Accepted Solution

A:
Answer:Answer is option DStep-by-step explanation:Given that Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (iThere is a table represening his velocity (in meters per second) as a function of time (in secondsIf we graph this table with time on x axis and velocity on y axis, we find that y intercept is the velocity when x=0This 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 =0Thus 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 graphc is not right as metres travelled is distance which is not plotted at alld is right as when he stops pedalling, at the start t =0 the velocity would be the y intercept at that time.