Question

Use the table to answer the question. 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.

Answer 1

Use the table to answer the question. 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. (1 point) Responses The slope is −5 pages in the copy machine every 2 seconds. The slope is negative 5 pages in the copy machine every 2 seconds. The slope is 2 pages in the copy machine every 5 seconds. The slope is 2 pages in the copy machine every 5 seconds. The slope is −5 pages every second. The slope is negative 5 pages every second. The slope is 500 pages in the copy machine.

Answer 2

The slope of the table represents the rate at which pages are being copied per second.

To find the slope, we can use the formula: slope = (change in y) / (change in x)

Slope = (495-500) / (2-0) = -5 / 2 = -2.5

The slope of -2.5 means that the copy machine is copying 2.5 pages less every second.

Therefore, the most simplified rate using whole numbers is that the copy machine is copying 2 pages less every second.

Answer 3

The correct interpretation is: The slope is -5 pages every second. (or The slope is negative 5 pages every second.)

This interpretation reflects the change in the number of pages in the copy machine per unit time, showing that the copy machine is losing 5 pages every second.