Concept explainers
To calculate: To find the rate of change of linear function
Answer to Problem 2CYU
The rate of change of linear function is
Explanation of Solution
Given information: Linear function is
Filling a Pool | |
Time (min) | Depth (in.) |
x | y |
5 | 12 |
10 | 24 |
15 | 36 |
20 | 48 |
Formula Used:
Rate of change is constant for a linear function and is calculated vertical change between two points, called as rise and the horizontal change between the two points, called as run.
Calculation:
Linear function is given as follows:
Filling a Pool | |
Time (min) | Depth (in.) |
x | y |
5 | 12 |
10 | 24 |
15 | 36 |
20 | 48 |
Let two points on graph be
Rate of change is calculated as
Substituting the values in above,
Hence, rate of change is
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