a. Every minute, 656 meters are traveled is incorrect as it does not match the given data. The correct answer should be "Every minute, approximately 82 meters are traveled" (calculated by finding the average of the distances traveled in each time period: (664+415+581+166+747)/5 ≈ 714.6).
b. The equation to show the relationship between x and y can be found using a linear regression analysis. By plotting the given data points and finding the line of best fit, the equation can be determined. However, the equation given (12y = x) is not correct as it does not match the given data.
c. We cannot determine if the relationship is proportional or non-proportional based on the given information. To determine if a relationship is proportional, we need to check if the ratio of y/x is constant for each data point. Without that information, we cannot conclude whether the relationship is proportional or not.
4. Given the table for x, time in minutes, and y, distance traveled:
x: time 8 5 7 2 9
y: distance 664 415 581 166 747
(4 points)
a. Every minute
656
meters are traveled.
b. Write an equation to show the relationship between x and y:
12y = x
.
c. This relationship is
non proportional
because the y-intercept is
(0, 0)
3 answers
What is the Correct Answer
a. Every minute, approximately 82.4 meters are traveled (calculated by finding the average of the distances traveled in each time period: (664+415+581+166+747)/5 ≈ 714.6).
b. To find the equation that shows the relationship between x and y, we can use a linear regression analysis. Using the given data points, the equation is approximately y = 73.2x - 47.2.
c. We cannot determine if the relationship is proportional or non-proportional based on the given information. To determine if a relationship is proportional, we need to check if the ratio of y/x is constant for each data point. Without that information, we cannot conclude whether the relationship is proportional or not.
b. To find the equation that shows the relationship between x and y, we can use a linear regression analysis. Using the given data points, the equation is approximately y = 73.2x - 47.2.
c. We cannot determine if the relationship is proportional or non-proportional based on the given information. To determine if a relationship is proportional, we need to check if the ratio of y/x is constant for each data point. Without that information, we cannot conclude whether the relationship is proportional or not.