A student rode a bike from their house to the neighborhood recreation center. The graph shows the student’s distance from the recreation center after riding the bike for x minutes.
Image: Texas Education Agency, Public Domain
What is the y-intercept of the graph and what does it mean in context?
A student rode a bike from their house to the neighborhood recreation center. The graph shows the student’s distance from the recreation center after riding the bike for x minutes.
Image: Texas Education Agency, Public Domain
What is the y-intercept of the graph and what does it mean in context?
(0,28); it took 28 minutes for the student to get to the recreation center.
(9,0); when the student began biking to the recreation center they were 9 miles away.
(28,0); it took 28 minutes for the student to get to the recreation center.
(0,9); when the student began biking to the recreation center they were 9 miles away.
(28,0); it took 28 minutes for the student to get to the recreation center.
that is incorrect
Apologies for the error. The correct answer is:
(0,9); when the student began biking to the recreation center they were 9 miles away.
To find the y-intercept of the graph, you need to determine the point where the graph intersects with the y-axis. The y-axis represents the distance from the recreation center (in miles). In this case, the y-intercept is the point where the x-coordinate is 0.
Looking at the options given:
(0,28) represents the point where x = 0 and y = 28.
(9,0) represents the point where x = 9 and y = 0.
(28,0) represents the point where x = 28 and y = 0.
(0,9) represents the point where x = 0 and y = 9.
Since the y-intercept is the point where x = 0, the correct option is (0,28). This means that when the student started biking (at 0 minutes), they were already 28 miles away from the recreation center.