Select The Correct Answer.If It Costs Susan $25 To Rent A Truck For 1 Hour And $100 To Rent A Truck For 4 Hours, How Much Will It Cost For Her To Rent A Truck For Her Entire 8-hour Workday?A. $150 B. $200 C. $225 D.
Understanding the Problem
Susan needs to rent a truck for her entire 8-hour workday. The cost of renting a truck varies depending on the duration of the rental. We are given two scenarios: renting a truck for 1 hour costs $25, and renting a truck for 4 hours costs $100. We need to determine the cost of renting a truck for 8 hours.
Analyzing the Given Information
Let's analyze the given information:
- Renting a truck for 1 hour costs $25.
- Renting a truck for 4 hours costs $100.
We can see that the cost of renting a truck increases as the duration of the rental increases. To find the cost of renting a truck for 8 hours, we need to determine the rate at which the cost increases per hour.
Calculating the Hourly Rate
To calculate the hourly rate, we can use the following formula:
Hourly Rate = (Total Cost) / (Total Hours)
We can use the given information to calculate the hourly rate:
- For 1 hour: $25 / 1 hour = $25 per hour
- For 4 hours: $100 / 4 hours = $25 per hour
We can see that the hourly rate is constant at $25 per hour.
Calculating the Cost for 8 Hours
Now that we have the hourly rate, we can calculate the cost of renting a truck for 8 hours:
Cost for 8 hours = Hourly Rate x Number of Hours = $25 per hour x 8 hours = $200
Therefore, the correct answer is:
B. $200
Conclusion
In this problem, we were given two scenarios for renting a truck: 1 hour and 4 hours. We analyzed the given information and calculated the hourly rate, which was found to be constant at $25 per hour. Using this hourly rate, we calculated the cost of renting a truck for 8 hours, which was found to be $200.
Key Takeaways
- The cost of renting a truck increases as the duration of the rental increases.
- The hourly rate is constant at $25 per hour.
- The cost of renting a truck for 8 hours is $200.
Practice Problems
- If it costs $50 to rent a truck for 2 hours, how much will it cost to rent a truck for 6 hours?
- If it costs $75 to rent a truck for 3 hours, how much will it cost to rent a truck for 9 hours?
Answer Key
- $150
- $225
Frequently Asked Questions (FAQs) about Calculating the Cost of Truck Rental ================================================================================
Q: How do I calculate the cost of renting a truck for a certain number of hours?
A: To calculate the cost of renting a truck for a certain number of hours, you need to know the hourly rate of the truck rental. You can use the following formula:
Cost = Hourly Rate x Number of Hours
For example, if the hourly rate is $25 and you want to rent a truck for 8 hours, the cost would be:
Cost = $25 x 8 hours = $200
Q: What if the hourly rate is not constant? How do I calculate the cost of renting a truck?
A: If the hourly rate is not constant, you need to calculate the cost of renting a truck for each hour separately. For example, if the cost of renting a truck for 1 hour is $25, and the cost of renting a truck for 4 hours is $100, you can calculate the cost of renting a truck for 8 hours as follows:
Cost for 1 hour = $25 Cost for 4 hours = $100 Cost for 8 hours = Cost for 4 hours + Cost for 4 hours = $100 + $100 = $200
Q: How do I determine the hourly rate of a truck rental?
A: To determine the hourly rate of a truck rental, you can use the following formula:
Hourly Rate = (Total Cost) / (Total Hours)
For example, if the total cost of renting a truck for 4 hours is $100, and the total hours is 4, the hourly rate would be:
Hourly Rate = $100 / 4 hours = $25 per hour
Q: What if I want to rent a truck for a fraction of an hour? How do I calculate the cost?
A: If you want to rent a truck for a fraction of an hour, you need to calculate the cost of renting the truck for the full hour and then multiply it by the fraction of the hour you want to rent. For example, if the cost of renting a truck for 1 hour is $25, and you want to rent a truck for 2.5 hours, the cost would be:
Cost = $25 x 2.5 hours = $62.50
Q: Can I use a calculator to calculate the cost of renting a truck?
A: Yes, you can use a calculator to calculate the cost of renting a truck. Simply enter the hourly rate and the number of hours you want to rent the truck for, and the calculator will give you the total cost.
Q: What if I make a mistake in calculating the cost of renting a truck? How do I correct it?
A: If you make a mistake in calculating the cost of renting a truck, you can simply re-calculate the cost using the correct formula and numbers. For example, if you calculate the cost of renting a truck for 8 hours as $250 instead of $200, you can simply re-calculate the cost as follows:
Cost = Hourly Rate x Number of Hours = $25 x 8 hours = $200
Conclusion
Calculating the cost of renting a truck can be a complex task, but with the right formula and numbers, you can easily determine the total cost. Remember to use the hourly rate and the number of hours you want to rent the truck for to calculate the total cost. If you make a mistake, simply re-calculate the cost using the correct formula and numbers.
Key Takeaways
- The cost of renting a truck can be calculated using the formula: Cost = Hourly Rate x Number of Hours.
- The hourly rate can be determined using the formula: Hourly Rate = (Total Cost) / (Total Hours).
- You can use a calculator to calculate the cost of renting a truck.
- If you make a mistake in calculating the cost of renting a truck, simply re-calculate the cost using the correct formula and numbers.