Question

Bryant loves to eat bagels to fuel up for his track meets. He typically buys them fresh from the bakery.
There is a linear relationship between the number of bagels Bryant buys and the total cost.
Describe the rate of change for this relationship.
The total cost
by
per bagel.

Answer 1

In a linear relationship between the number of bagels Bryant buys and the total cost, the rate of change describes how much the total cost increases with each additional bagel purchased.

If we denote the cost of one bagel as \( C \), then the rate of change is simply \( C \). This means that for every bagel added to his purchase, the total cost increases by \( C \) dollars.

For example, if each bagel costs $2, the rate of change would be $2 per bagel. Thus, the total cost increases by $2 for each additional bagel Bryant buys.

In summary, the rate of change for the relationship between the number of bagels Bryant buys and the total cost is the cost per bagel.