Final answer:
The rate of change, or slope, of Samantha's savings is $5 per week.
Step-by-step explanation:
Samantha is saving money to buy a new bicycle. In this situation, the rate of change or slope represents the amount of money Samantha saves each week. She starts with $20 and saves $5 per week from her allowance. To find the slope, we look at the change in savings over time. Since she saves $5 per week, the slope (the rate of change of her savings) is $5 per week. There is no change in the initial amount, so the y-intercept, which would represent a starting fee in other contexts, is not applicable here.