Final answer:
The correct equation that represents the relationship between the cost for the family and the time they rent the canoe is option B: c = 5.00 + 2.50t, which consists of a $5.00 up-front fee and a $2.50 hourly rate.
Step-by-step explanation:
To find the equation that represents the relationship between the cost for the family in dollars, c, and the time they rent the canoe in hours, t, we need to understand the structure of a linear equation. A linear equation in the context of a rental situation is typically formatted with a fixed fee (one-time charge) and a variable fee (hourly rate). Considering Example 12.4, where Svetlana charges a one-time fee plus an hourly fee, the equation for her earnings is y = 25 + 15x, where 25 is the fixed fee and 15 is the hourly rate.
For the canoe rental, if we apply the same logic and assume that there might be an up-front fee and an hourly fee, we can then evaluate which one of the provided options fits this structure. The options provided are:
- c = 5.00t + 2.50
- c = 5.00 + 2.50t
- c = 7.50t
- c = 10.00t
From these, option B. c = 5.00 + 2.50t fits the typical structure of a rental service fee, with a $5.00 up-front fee and a $2.50 hourly rate. Thus, the correct equation that represents the relationship between cost and time rented is option B.