x ( time in seconds ) 0, 2, 4

y ( pages in copy machine ) 500, 495, 490

Interpret the slope in the context of this situation. Give the most simplified rate using whole numbers.

3 answers

The slope in this situation represents the rate at which pages are being copied per second.

To find the slope, we first find the change in y (pages copied) and the change in x (time in seconds):

Change in y = 500 - 490 = 10
Change in x = 4 - 0 = 4

Now we calculate the slope:

Slope = Change in y / Change in x
Slope = 10 / 4
Slope = 2.5

Therefore, the rate at which pages are being copied per second is 2.5 pages per second. We can simplify this to a whole number by rounding down, so the most simplified rate using whole numbers is 2 pages per second.
Pick between these for the answer of the question I first asked.

A) The slope is 500 pages in the copy machine
B) The slope is -5 in the copy machine every 2 seconds
C) The slope is -5 pages every second
D) The slope is 2 pages in the copy machine every 5 seconds
C) The slope is -5 pages every second

This is the correct interpretation of the slope in this situation, as it represents the rate at which pages are being copied per second.
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