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Find the rate of change between the two points. Give the units of measure for the rate. \((2,2)\) and \((9,23) ; x\) in minutes, \(y\) in inches

Short Answer

Expert verified
The rate of change between the two points is 3 inches per minute.

Step by step solution

01

Identify the Coordinated Points

We have already been given two coordinates. Identify the two points as (x1, y1) = (2, 2) and (x2, y2) = (9, 23).
02

Apply Slope Formula

Slope is defined as the change in vertical values divided by the change in horizontal values, which is calculated as: slope (rate of change) = (y2 - y1) / (x2 - x1).
03

Calculate the Slope/Rate of Change

Substitute the coordinated values into the slope formula: (23 - 2) / (9 - 2) = 21 / 7 = 3.
04

Define the Units of Measurement

Since the x-value is in minutes and the y-value is in inches, the rate of change (slope) would be measured in inches per minute.

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