time H: 5 10 15 20

dist mi 6 12 18 24

slope:
Unit rate:

3 answers

The unit rate of time with respect to distance is 3. This means that for every 6 miles traveled, 5 hours have passed.
but what is the slope
The slope represents the rate of change between two variables. In this case, the slope represents the rate of change between time and distance.

To calculate the slope, we can use the formula:

slope = change in distance / change in time

Using the given data points:

For the first pair of data points:
Change in distance = 12 - 6 = 6 mi
Change in time = 10 - 5 = 5 H

slope = 6 mi / 5 H = 1.2 mi/H

For the second pair of data points:
Change in distance = 18 - 12 = 6 mi
Change in time = 15 - 10 = 5 H

slope = 6 mi / 5 H = 1.2 mi/H

For the third pair of data points:
Change in distance = 24 - 18 = 6 mi
Change in time = 20 - 15 = 5 H

slope = 6 mi / 5 H = 1.2 mi/H

Therefore, the slope for the given data is 1.2 mi/H.