In the table, x represents every mile driven in a cab and y represents the cost.

Question

A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5.

Is the slope increasing or decreasing?

What is the slope for this scenario?

Answer 1

The slope is increasing because as x increases, y also increases.

The slope can be calculated using the formula:

slope = (change in y) / (change in x)

Using values from the table:

slope = (17.5 - 7.5) / (6.25 - 1.25)
slope = 10 / 5
slope = 2

Therefore, the slope for this scenario is 2.