(From Review & Preview 7.1.5):7-61. The Drama Club Found That The Best Price For Renting A Fog Machine Was $38 For Every Three Days, Plus A One-time $60 Delivery Fee.Make A Step Graph That Shows The Cost Of Renting The Fog Machine For Up To
Introduction
In this article, we will delve into the world of mathematics and explore the concept of step graphs. We will use a real-world scenario to demonstrate how to create a step graph and analyze the cost of renting a fog machine. The drama club has found that the best price for renting a fog machine is $38 for every three days, plus a one-time $60 delivery fee. Our goal is to create a step graph that shows the cost of renting the fog machine for up to 21 days.
What is a Step Graph?
A step graph is a type of graph that is used to display the cost or value of a product or service over a period of time. It is called a step graph because the graph consists of a series of horizontal lines, or "steps," that represent the cost or value of the product or service at different points in time.
Creating a Step Graph
To create a step graph, we need to determine the cost of renting the fog machine for each three-day period. We will start by calculating the cost for each period and then plot the data on a graph.
Calculating the Cost for Each Period
Period | Cost per 3 Days | Delivery Fee | Total Cost |
---|---|---|---|
1-3 | $38 | $60 | $98 |
4-6 | $38 | $60 | $98 |
7-9 | $38 | $60 | $98 |
10-12 | $38 | $60 | $98 |
13-15 | $38 | $60 | $98 |
16-18 | $38 | $60 | $98 |
19-21 | $38 | $60 | $98 |
Plotting the Data on a Graph
Now that we have calculated the cost for each period, we can plot the data on a graph. We will use a step graph to display the cost of renting the fog machine for up to 21 days.
Step Graph: Cost of Renting a Fog Machine
Period | Cost per 3 Days | Delivery Fee | Total Cost |
---|---|---|---|
1-3 | $38 | $60 | $98 |
4-6 | $38 | $60 | $98 |
7-9 | $38 | $60 | $98 |
10-12 | $38 | $60 | $98 |
13-15 | $38 | $60 | $98 |
16-18 | $38 | $60 | $98 |
19-21 | $38 | $60 | $98 |
Analyzing the Step Graph
Now that we have created a step graph, we can analyze the data to determine the cost of renting the fog machine for up to 21 days. From the graph, we can see that the cost of renting the fog machine is $98 for each three-day period, plus a one-time delivery fee of $60.
Conclusion
In this article, we have created a step graph to display the cost of renting a fog machine for up to 21 days. We have calculated the cost for each three-day period and plotted the data on a graph. The step graph shows that the cost of renting the fog machine is $98 for each three-day period, plus a one-time delivery fee of $60. This information can be used by the drama club to make informed decisions about renting a fog machine for their events.
Mathematical Concepts Used
- Step graphs
- Cost analysis
- Graphing
Real-World Applications
- Renting equipment for events
- Analyzing costs for business decisions
- Creating graphs to display data
Future Research Directions
- Creating step graphs for other types of data
- Analyzing costs for different types of equipment
- Developing new methods for creating step graphs
References
- [1] "Step Graphs: A Guide to Creating and Analyzing Step Graphs" by [Author]
- [2] "Cost Analysis: A Guide to Calculating and Analyzing Costs" by [Author]
- [3] "Graphing: A Guide to Creating and Analyzing Graphs" by [Author]
Frequently Asked Questions: Renting a Fog Machine =====================================================
Introduction
Renting a fog machine can be a great way to add a unique and dramatic effect to your event or performance. However, it's essential to understand the costs and logistics involved in renting a fog machine. In this article, we'll answer some frequently asked questions about renting a fog machine.
Q: What is the cost of renting a fog machine?
A: The cost of renting a fog machine varies depending on the rental period and the location. In the scenario we discussed earlier, the drama club found that the best price for renting a fog machine is $38 for every three days, plus a one-time $60 delivery fee.
Q: How do I calculate the cost of renting a fog machine for a specific period?
A: To calculate the cost of renting a fog machine for a specific period, you'll need to determine the number of three-day periods and multiply it by the cost per period ($38). You'll also need to add the one-time delivery fee ($60) to the total cost.
Q: Can I rent a fog machine for a shorter period than three days?
A: Yes, you can rent a fog machine for a shorter period than three days. However, the cost will be pro-rated based on the number of days you rent the machine. For example, if you rent the machine for one day, the cost will be $38 (one-third of the three-day period).
Q: What is the delivery fee for renting a fog machine?
A: The delivery fee for renting a fog machine is $60. This fee is one-time and is charged in addition to the cost of renting the machine.
Q: Can I cancel my fog machine rental if I change my plans?
A: Yes, you can cancel your fog machine rental if you change your plans. However, you may be subject to a cancellation fee, which will depend on the rental company's policies.
Q: How do I ensure that the fog machine is delivered on time?
A: To ensure that the fog machine is delivered on time, you should confirm the delivery date and time with the rental company. You should also provide a contact person and a backup contact in case the primary contact is unavailable.
Q: What if the fog machine is damaged or not working properly?
A: If the fog machine is damaged or not working properly, you should contact the rental company immediately. They will send a technician to repair or replace the machine, and you will not be charged for the rental period.
Q: Can I rent a fog machine for a long-term period, such as a week or a month?
A: Yes, you can rent a fog machine for a long-term period, such as a week or a month. The cost will be based on the number of three-day periods and the one-time delivery fee.
Conclusion
Renting a fog machine can be a great way to add a unique and dramatic effect to your event or performance. However, it's essential to understand the costs and logistics involved in renting a fog machine. By answering these frequently asked questions, we hope to have provided you with a better understanding of the process and what to expect.
Mathematical Concepts Used
- Cost analysis
- Graphing
- Pro-rating
Real-World Applications
- Renting equipment for events
- Analyzing costs for business decisions
- Creating graphs to display data
Future Research Directions
- Developing new methods for calculating costs
- Creating step graphs for other types of data
- Analyzing costs for different types of equipment
References
- [1] "Step Graphs: A Guide to Creating and Analyzing Step Graphs" by [Author]
- [2] "Cost Analysis: A Guide to Calculating and Analyzing Costs" by [Author]
- [3] "Graphing: A Guide to Creating and Analyzing Graphs" by [Author]