Question

is dylans work correct? no, because the rate of change should be negative. what is the correct rate of change: increases by 24, decreases by 24, increases by 8, decreases by 8. rate of change: -8. what does the rate of change mean? dylans distance from home miles every hour. dylans work rate of change = \frac{change in y - values}{change in x - values}=\frac{34 - 10}{3 - 0}=\frac{24}{3} or 8

Explanation:

Step1: Calculate the change in \(y\)-values

The formula for the rate of change is \(\frac{\text{change in }y\text{-values}}{\text{change in }x\text{-values}}\).
The change in \(y\)-values is \(10 - 34=- 24\).

Step2: Calculate the change in \(x\)-values

The change in \(x\)-values is \(3 - 0 = 3\).

Step3: Calculate the rate of change

The rate of change \(=\frac{-24}{3}=-8\).

Answer:

The rate of change is \(-8\), which means Dylan's distance from home decreases by \(8\) miles every hour.