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.

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

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

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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

part a: 1.08

part b: 27.59