QUESTION IMAGE
Question
passage one
the cost to rent a paddle boat at the state park is $5 per hour plus a flat fee of $7 to cover the cost of any necessary life jackets. use this information to match the following statements below.
- which value would represent the slope of the line?
drag and drop the correct choice into the blank spaces above
7
12
5
- what would the flat fee represent?
Step1: Model cost as linear function
The total cost $C$ follows the linear form $C = mx + b$, where $x$ = hours rented, $m$ = slope (rate per hour), $b$ = flat fee.
From the passage: $C = 5x + 7$.
Step2: Identify slope from the function
In $C = 5x + 7$, the coefficient of $x$ is the slope.
In a linear cost model $C = mx + b$, the flat fee is the constant term $b$, which corresponds to the y-intercept of the line (the cost when $x=0$, i.e., 0 hours rented).
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