Question

Tables are lined up end-to-end in a restaurant. The number of people who can be seated, y, is a linear function of the number of tables, X. A graph of the function passes through the points
(3, 20) and (5, 32). What is the rate of change in y with respect to x, in people per table?

Answer 1

6, you would use the y2-y1/x2-x1 equation and plug it in: 32-20/5-3, which would equal: 12/2, and that simplifies down to 6.

Answer 2

The rate of change in y with respect to x, is 6 people per table

How to determine the rate of change?

The points on the line are given as:

(3,20) and (5,32)

The rate of change is then calculated using:

Rate = (y2 - y1)/(x2 - x1)

This gives

Rate = (32 - 20)/(5 - 3)

Evaluate

Rate = 6

Hence, the rate of change in y with respect to x, is 6 people per table

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