2. Given the table for x, time in minutes and y, distance traveled in meters:%0D%0A%0D%0Ax - time (minutes)%098%095%097%092%099%0D%0Ay - distance (meters)%0940%0925%0935%0910%0945%0D%0A %0D%0A%0D%0A(4 points)%0D%0APut 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.%0D%0Aa. Every minute Response area meters are traveled.%0D%0A%0D%0Ab. Write an equation to show the relationship between x and y. Response area %0D%0A%0D%0Ac. The relationship is Response area because the y-intercept is Response area%0D%0A%0D%0Aproportionalnon proportionalnon linear-5540-40y = x/55y = xy = x - 5y = 5xy = 40x40y = x(5, 25)(0, 5)(0, 0)(5, 0)%0D%0AQuestion 3%0D%0A3.
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.
To answer this question, let's analyze the given table:
x - time (minutes): 8, 5, 7, 2, 9
y - distance (meters): 40, 25, 35, 10, 45
a. To determine how many meters are traveled every minute, we can calculate the average speed. The average speed can be obtained by dividing the total distance traveled (y) by the total time (x). Let's calculate it:
Total distance = 40 + 25 + 35 + 10 + 45 = 155 meters
Total time = 8 + 5 + 7 + 2 + 9 = 31 minutes
Average speed = Total distance / Total time
Average speed = 155 meters / 31 minutes
Therefore, every minute, approximately 5 meters are traveled.
b. To write an equation that shows the relationship between x and y, we need to observe the pattern in the table. Looking at the x-values and y-values, we can notice that the distance traveled (y) is directly proportional to the time (x). This means that as the time increases, the distance also increases at a constant rate.
Therefore, the equation that represents this relationship is:
y = 5x
c. Since the y-intercept is not given in the table, we cannot determine the value. The y-intercept represents the value of y when x is equal to 0. In this case, since x cannot be 0 (as it represents time), the y-intercept is not applicable.
In summary:
a. Every minute, 5 meters are traveled.
b. The equation that shows the relationship between x and y is y = 5x.
c. The relationship is proportional because the distance traveled (y) increases in a constant ratio with the time (x). The y-intercept is not applicable in this case.
a. Every minute, 10 meters are traveled.
b. The equation to show the relationship between x and y is y = 10x.
c. The relationship is proportional because the y-intercept is 0.