Math  /  Algebra

QuestionExample Compare the rates of change for these two functions. Which function has a greater rate of change?
Sarah's Savings  vertical change  horizontal change =61=6\frac{\text { vertical change }}{\text { horizontal change }}=\frac{6}{1}=6
Alyssa's Savings  vertical change  horizontal change =81=8\frac{\text { vertical change }}{\text { horizontal change }}=\frac{8}{1}=8
Alyssa's rate of change is greater than Sarah's.
1 What do the rates of change in the example represent? \qquad \qquad

Studdy Solution
The rates of change indicate the speed at which each person's savings grow. Since Alyssa's rate of change is 8 8 , which is greater than Sarah's rate of change of 6 6 , Alyssa's savings are increasing more quickly than Sarah's.
The rates of change in the example represent the speed at which Sarah's and Alyssa's savings are increasing over time. Alyssa's savings increase at a faster rate than Sarah's.

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