Question

For a ride on a rental scooter Gorman park 3$ fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran’s ride was 13.01$ For how many minutes did Goran ride the scooter?

Answer 1

The Number of minutes Goran rode on the scooter is 118 minutes

SOLUTION

Problem Statement

The question tells us to use a scooter rental service, we pay $3 at the start and 11 cents per minute of the ride. We are asked to find how many minutes Goran rode on the scooter if his bill was $13.01.

Method

To solve this question, we simply need to write out the cost of the ride for every minute that passes. After doing this, we can then generalize a formula from our observations.

At the start:

Goran pays $3

After 1 minute:

Goran pays $3 plus 11 cents

After 2 minutes:

Goran pays $3 plus 11 cents + 11 cents = 2(11) cents

After 3 minutes:

Goran pays $3 plus 3(11) cents

After 4 minutes:

Goran pays $3 plus 4(11) cents

We can easily observe the pattern in the amount of money Goran is to pay after every minute. With this understanding, we can easily generalize and come up with a formula for finding what amount Goran will pay at any point in time.

After n minutes:

Goran pays $3 plus n(11) cents.

We can write this as an equation as shown below:

`\begin{gathered} \text{If the amount Goran has to pay is X,} \\ X=3+11n \\ \text{where,} \\ n=\text{ Number of minutes Goran has spent on the scooter} \end{gathered}`

With this formula, we can proceed to solve the question.

Implementation

We are told that Goran's ride costs $13.01 in total (this is X in the formula), we are asked to find how many minutes he spent on the scooter (this is n in our formula)

`\begin{gathered} X=11n+3 \\ X=13.01*100\text{ cents }=1301 \\ 1301=11n+3 \\ \text{Subtract 3 from both sides} \\ 1301-3=11n \\ 1298=11n \\ \text{Divide both sides by 11} \\ (1298)/(11)=n \\ n=118 \end{gathered}`

Final Answer

The Number of minutes Goran rode on the scooter is 118 minutes