Question

While your family is visiting Deep Creek Lake, you and your mother decide to go to boating. The rangers charge $6.50 per hour in addition to a $25 deposit to rent a canoe. If the total cost to rent the canoe from 12:30 pm to 3:30pm, write and solve a linear equation to find the total cost to rent the canoe.

Answer 1

Given: The cost of renting a canoe is $6.50 per hour in addition to a $25 deposit.

Required: If the family rented the canoe from 12:30 PM-3:30 PM, write and solve a linear equation to find the total cost to rent the canoe.

Explanation: Let x denote the number of hours the family rented the canoe. Then the linear equation representing the total cost of renting the canoe is given by-.

`Cost,\text{ }C=6.50x+25`

Now, since the family rented the canoe for 3 hours. Putting x=3 in the above equation gives,

`\begin{gathered} Cost=6.50*3+25 \\ Cost=\text{\$}44.50\text{ } \end{gathered}`

Final Answer: The equation representing the total cost of renting the canoe is-

`C=6.50x+25`

And the total cost of renting the canoe for 3 hours is $44.50.