Understanding the Cost of Renting a Bike

Oct 13, 2025 by wbrum.org 147 views

Introduction

When it comes to renting a bike or a scooter, the cost can vary depending on the duration of the rental. In this article, we will explore the total cost of renting a bike for a certain number of hours and a scooter for a different number of hours. We will use mathematical expressions to represent the total cost and then apply the expressions to a specific scenario.

Understanding the Cost of Renting a Bike

The cost of renting a bike can be represented by the expression $9b$ , where $b$ is the number of hours the bike is rented. This expression indicates that the cost of renting the bike is $9$ dollars per hour. For example, if Ari rents the bike for 4 hours, the total cost would be $9 \times 4 = 36$ dollars.

Understanding the Cost of Renting a Scooter

The cost of renting a scooter can be represented by the expression $10s$ , where $s$ is the number of hours the scooter is rented. This expression indicates that the cost of renting the scooter is $10$ dollars per hour. For example, if Meg rents the scooter for 3 hours, the total cost would be $10 \times 3 = 30$ dollars.

Representing the Total Cost

The total cost of renting a bike and a scooter can be represented by the expression $9b + 10s$ . This expression indicates that the total cost is the sum of the cost of renting the bike and the cost of renting the scooter.

Applying the Expression to a Scenario

Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. To find the total cost, we can substitute the values of $b$ and $s$ into the expression $9b + 10s$ . This gives us:

$9(4) + 10(3) = 36 + 30 = 66$

Therefore, the total cost of renting the bike and the scooter is $66$ dollars.

Conclusion

In this article, we explored the total cost of renting a bike and a scooter. We represented the cost of renting a bike and a scooter using mathematical expressions and then applied the expressions to a specific scenario. The total cost of renting a bike and a scooter can be represented by the expression $9b + 10s$ , where $b$ is the number of hours the bike is rented and $s$ is the number of hours the scooter is rented.

Additional Examples

Here are a few additional examples of how to use the expression $9b + 10s$ :

Ari rents the bike for 5 hours, and Meg rents the scooter for 2 hours. What is the total cost?
Ari rents the bike for 3 hours, and Meg rents the scooter for 4 hours. What is the total cost?
Ari rents the bike for 2 hours, and Meg rents the scooter for 5 hours. What is the total cost?

To find the total cost in each of these scenarios, we can substitute the values of $b$ and $s$ into the expression $9b + 10s$ .

Solving the First Example

Ari rents the bike for 5 hours, and Meg rents the scooter for 2 hours. To find the total cost, we can substitute the values of $b$ and $s$ into the expression $9b + 10s$ . This gives us:

$9(5) + 10(2) = 45 + 20 = 65$

Therefore, the total cost of renting the bike and the scooter is $65$ dollars.

Solving the Second Example

Ari rents the bike for 3 hours, and Meg rents the scooter for 4 hours. To find the total cost, we can substitute the values of $b$ and $s$ into the expression $9b + 10s$ . This gives us:

$9(3) + 10(4) = 27 + 40 = 67$

Therefore, the total cost of renting the bike and the scooter is $67$ dollars.

Solving the Third Example

Ari rents the bike for 2 hours, and Meg rents the scooter for 5 hours. To find the total cost, we can substitute the values of $b$ and $s$ into the expression $9b + 10s$ . This gives us:

$9(2) + 10(5) = 18 + 50 = 68$

Therefore, the total cost of renting the bike and the scooter is $68$ dollars.