Question

The total cost to pay for parking at a state park for the day and rent a paddleboat are:
1 hour $17, 2 hours $29, 3 hours $41, 4 hours $53.
A: find the cost to park for a day and the hourly rate to rent a paddleboat.
B: What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Explain.

Answer 1

The total cost to pay for parking at a state park for the day and rent a paddleboat are:
1 hour $17, 2 hours $29, 3 hours $41, 4 hours $53.
A: find the cost to park for a day and the hourly rate to rent a paddleboat.
B: What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Explain.

Answer 2

The cost to park for a day, the hourly rate and cost to rent a boat for 3.5 hours is required.

The cost to park for a day is $293.

The hourly rate to rent a paddleboat is $12 per hour.

Lin would have to pay $23.5.

Let $x$ be the hours

$y$ be the cost of rent

The ordered pairs of the situation are

$(1,17),(2,29),(3,41),(4,53)$

Let us find the slope

$m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{29-17}{2-1}\\\Rightarrow m=12$

The hourly rate to rent a paddleboat is $12 per hour.

The equation is

$y-17=12(x-1)\\\Rightarrow y=12x+5$

For 24 hours $x=24$

$y=12\times 24+5=293$

The cost to park for a day is $293.

For 3.5 hours $x=3.5$

$y=12\times 3.5+5=47$

The amount Lin would pay after splitting the cost is $\dfrac{47}{2}=\ 23.5$

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