Question

The cost of renting skates is $5.00

to reserve the skates and $2.00
for every hour rented. The final
amount Susan paid is $10.00.

Write an equation to determine the
number of hours rented (x).

Answer 1

C = 5 + 2x

Explanation:

To write an equation to determine the number of hours rented (x), we need to use the information given in the problem. We know that the cost of renting skates is $5.00 to reserve the skates and $2.00 for every hour rented. We also know that the final amount Susan paid is $10.00.

We can use these facts to write an equation that relates the cost and the number of hours rented (x). The equation is:

• C=5+2x

This equation means that the cost is equal to the reservation fee ($5.00) plus the hourly fee ($2.00) times the number of hours rented (x).

To find the value of x, we need to substitute the given value of C ($10.00) and solve for x. We can do this by using algebraic steps:

• C=5+2x
• 10=5+2x
• 10−5=5+2x−5
• 5=2x
• 5/2​=2x/2​
• 5/2​=x

The solution is:

• x=5/2

This means that Susan rented the skates for 2.5 hours.

Answer 2

Answer: 2 hours 30 minutes

Explanation:

10-5 =5

2 dollars every hour rented meaning thats 1 dollar every 30 mins

if you rent the skates for two hours thats 4 dollars

every 30 mins is 1 dollar so susan rented the skates for two hours and thirty minutes

5 for reservation

2 for hour one

2 for hour two

1 for thirty minutes

total comes out to $10