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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

1 answer

To answer the questions based on the table provided, we can analyze the data as follows:

a. Every minute Response area meters are traveled.

To find the average distance traveled per minute, we can divide the total distance by the total time or calculate the distance per minute for each individual entry and take an average.

  1. Total Distance Traveled: 40 + 25 + 35 + 10 + 45 = 155 meters
  2. Total Time: 8 + 5 + 7 + 2 + 9 = 31 minutes

Average Speed (meters per minute) = Total Distance / Total Time = 155 / 31 ≈ 5 meters per minute.

So, for a: Every minute 5 meters are traveled.

b. Write an equation to show the relationship between x and y.

To express the relationship between distance (y) and time (x), we can determine the equation of the line in the form y = mx + b, where m is the slope.

Calculating the slope (m) between two points (using points such as (5, 25) and (9, 45)):

  • Slope (m) = (y2 - y1) / (x2 - x1) = (45 - 25) / (9 - 5) = 20 / 4 = 5.

Now we find the y-intercept (b) using the equation with one of the points (let's use (5, 25)):

  • 25 = 5(5) + b
  • 25 = 25 + b
  • b = 0.

The equation is: y = 5x + 0 or simply y = 5x.

c. The relationship is Response area because the y-intercept is

The equation we found is y = 5x, which indicates a linear relationship.

c. The relationship is linear because the y-intercept is 0.

Final Responses:

a. 5
b. y = 5x
c. linear; 0