Question

While your family is visiting Deep creek lake, you and your mother decide to go boating. The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe. If you wish to rent the canoe from 12:30 to 3:30 PM, write and solve a linear equation to find the total cost to rent the canoe.

Answer 1

The total cost is $43.5 and it is obtained from the equation c = 6.5n + 25

Solution:

Given that, while your family is visiting Deep creek lake, you and your mother decide to go boating.  

The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe.  

If you wish to rent the canoe from 12:30 to 3:30 PM,  

We have to write and solve a linear equation to find the total cost to rent the canoe.

Now, we know that,

total cost = charges + rent fee

$\text {Total cost }=\text { number of hours used } \times \ 6.5 \text { per hour }+\ 25$

Let total cost be "c" and number of hours rented be "n"

$\begin{array}{l}{c=n \times 6.50+25} \\\\ {c=6.5 n+25 \rightarrow(1)}\end{array}$

Now, they used canoe from 12:30 to 3:30, which means 3 hours of time

So, put n = 3 in (1)  

c = 6.5(3) + 25

c = 19.5 + 25

c = 43.5

Hence, the total cost is $43.5 and it is obtained from the equation c = 6.5n + 25