Question

what is the rate of change for the data in the table?

of candy bars | cost in dollars

1 | 2.25
2 | 4.50
4 | 9.00
7 | 15.75
$6.75 per candy bar
$2.25 per candy bar
\\(\frac{4}{9}\\) candy bars per dollar
4.50 candy bars per dollar

Explanation:

Step1: Recall rate of change formula

Rate of change is $\frac{\text{Change in Cost}}{\text{Change in Number of Candy Bars}}$.

Step2: Calculate using first two points

For (1, 2.25) and (2, 4.50): $\frac{4.50 - 2.25}{2 - 1} = \frac{2.25}{1} = 2.25$.
Check with other points: (2, 4.50) to (4, 9.00): $\frac{9.00 - 4.50}{4 - 2} = \frac{4.50}{2} = 2.25$.
(4, 9.00) to (7, 15.75): $\frac{15.75 - 9.00}{7 - 4} = \frac{6.75}{3} = 2.25$.

Answer:

\$2.25 per candy bar