Question

extra practice
find the constant rate of change for each table.
10.
time (h) | 0 | 1 | 2 | 3
wage ($) | 0 | 9 | 18 | 27
$9 per hour
change in wages / change in hours = $9 / 1 hour
11.
minutes | 1,000 | 1,500 | 2,000 | 2,500
cost ($) | 38 | 53 | 68 | 83

Explanation:

Step1: Define rate formula

$\text{Constant rate of change} = \frac{\text{Change in Cost}}{\text{Change in Minutes}}$

Step2: Calculate value changes

$\Delta \text{Cost} = 53 - 38 = 15$, $\Delta \text{Minutes} = 1500 - 1000 = 500$

Step3: Compute rate of change

$\text{Rate} = \frac{15}{500} = 0.03$

Step4: Verify with other pairs

$\Delta \text{Cost} = 68 - 53 = 15$, $\Delta \text{Minutes} = 2000 - 1500 = 500$, $\text{Rate} = \frac{15}{500} = 0.03$

Answer:

$\$0.03$ per minute