2. Given the table for x, time in minutes and y, distance traveled in meters:
x - time (minutes) 8 5 7 2 9
y - distance (meters) 40 25 35 10 45
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every minute Response area meters are traveled.
b. Write an equation to show the relationship between x and y. Response area
c. The relationship is Response area because the y-intercept is Response area
response
proportional, non proportional, non linear, -5, 5, 40, -40, y=x/5, 5y=x, y=x-5, y=5x, y=40x, 40y=x, (5,25), (0,5), (0,0), (5,0)
a. Every minute 5 meters are traveled.
b. Write an equation to show the relationship between x and y.
y = 5x
c. The relationship is proportional because the y-intercept is 0.
a. Every minute 5 meters are traveled.
b. The equation to show the relationship between x and y is y = 5x.
c. The relationship is proportional because the y-intercept is (0,0).
a. Every minute 5 meters are traveled.
To find the distance traveled per minute, we can look at the table and see that as the time increases by 1 minute, the distance traveled increases by 5 meters. Therefore, the distance traveled per minute is 5 meters.
b. The equation to show the relationship between x and y is y = 5x.
To find the equation, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. Since the distance traveled per minute is constant at 5 meters (as found in part a), the slope is 5. The y-intercept can be found by looking at the table or observing that when x is 0, y is also 0. Therefore, the equation becomes y = 5x.
c. The relationship is proportional because the y-intercept is 0.
To determine whether the relationship is proportional, we can look at the y-intercept. If the y-intercept is 0, then the relationship is proportional. In this case, the y-intercept is 0 because when x is 0, y is also 0. Therefore, the relationship is proportional.