Evelyn Bought 8.4 Gallons Of Gas For $ 23.94 \$ 23.94 $23.94 . Which Equation Can Be Used To Determine The Price Of Each Gallon Of Gas?A. 8.4 X = 23.94 8.4x = 23.94 8.4 X = 23.94 B. X 8.4 = 23.94 \frac{x}{8.4} = 23.94 8.4 X = 23.94 C. 23.94 X = 8.4 23.94x = 8.4 23.94 X = 8.4 D. $\frac{x}{23.94} =
Understanding the Problem
Evelyn bought 8.4 gallons of gas for $23.94. To determine the price of each gallon of gas, we need to set up an equation that represents the relationship between the total cost and the number of gallons purchased.
Setting Up the Equation
Let's denote the price of each gallon of gas as x. Since Evelyn bought 8.4 gallons of gas for $23.94, we can set up the following equation:
8.4x = 23.94
This equation states that the total cost (23.94) is equal to the product of the number of gallons (8.4) and the price of each gallon (x).
Analyzing the Options
Now, let's analyze the options provided:
A. 8.4x = 23.94
This is the correct equation, as we have already established.
B. x/8.4 = 23.94
This equation is incorrect because it represents the price of each gallon (x) divided by the number of gallons (8.4), which is not the correct relationship.
C. 23.94x = 8.4
This equation is also incorrect because it represents the total cost (23.94) multiplied by the price of each gallon (x), which is not the correct relationship.
D. x/23.94 = ?
This equation is incomplete and does not represent the correct relationship between the total cost and the number of gallons.
Conclusion
To determine the price of each gallon of gas, we need to set up an equation that represents the relationship between the total cost and the number of gallons purchased. The correct equation is 8.4x = 23.94, which can be solved to find the price of each gallon.
Solving the Equation
To solve the equation 8.4x = 23.94, we can divide both sides by 8.4:
x = 23.94 / 8.4
x = 2.86
Therefore, the price of each gallon of gas is $2.86.
Real-World Applications
This problem has real-world applications in various industries, such as:
- Retail: To determine the price of each item in a store, given the total cost and the number of items sold.
- Finance: To calculate the interest rate on a loan, given the total interest paid and the principal amount borrowed.
- Business: To determine the cost of production, given the total cost and the number of units produced.
Tips and Tricks
- Use the correct units: When setting up an equation, make sure to use the correct units for the variables and constants.
- Check the equation: Before solving an equation, make sure it is correct and represents the correct relationship between the variables.
- Use the correct method: When solving an equation, use the correct method, such as division or multiplication, to isolate the variable.
Common Mistakes
- Incorrect units: Using the wrong units for the variables and constants can lead to incorrect solutions.
- Incorrect equation: Setting up an incorrect equation can lead to incorrect solutions.
- Incorrect method: Using the wrong method to solve an equation can lead to incorrect solutions.
Conclusion
Q: What is the correct equation to determine the price of each gallon of gas?
A: The correct equation is 8.4x = 23.94, where x represents the price of each gallon of gas.
Q: How do I solve the equation 8.4x = 23.94?
A: To solve the equation, divide both sides by 8.4:
x = 23.94 / 8.4
x = 2.86
Q: What is the price of each gallon of gas?
A: The price of each gallon of gas is $2.86.
Q: How do I determine the total cost of gas if I know the price per gallon and the number of gallons purchased?
A: To determine the total cost, multiply the price per gallon by the number of gallons purchased:
Total Cost = Price per Gallon x Number of Gallons
Q: What is the formula to calculate the total cost of gas?
A: The formula is:
Total Cost = Price per Gallon x Number of Gallons
Q: How do I calculate the price per gallon if I know the total cost and the number of gallons purchased?
A: To calculate the price per gallon, divide the total cost by the number of gallons purchased:
Price per Gallon = Total Cost / Number of Gallons
Q: What is the formula to calculate the price per gallon?
A: The formula is:
Price per Gallon = Total Cost / Number of Gallons
Q: Can I use the equation 23.94x = 8.4 to determine the price of each gallon of gas?
A: No, this equation is incorrect. The correct equation is 8.4x = 23.94.
Q: Can I use the equation x/8.4 = 23.94 to determine the price of each gallon of gas?
A: No, this equation is incorrect. The correct equation is 8.4x = 23.94.
Q: Can I use the equation x/23.94 = ? to determine the price of each gallon of gas?
A: No, this equation is incomplete and does not represent the correct relationship between the total cost and the number of gallons.
Q: What are some real-world applications of this problem?
A: This problem has real-world applications in various industries, such as retail, finance, and business.
Q: What are some tips and tricks for solving this problem?
A: Some tips and tricks include:
- Using the correct units for the variables and constants
- Checking the equation to ensure it is correct
- Using the correct method to solve the equation
Q: What are some common mistakes to avoid when solving this problem?
A: Some common mistakes to avoid include:
- Using the wrong units for the variables and constants
- Setting up an incorrect equation
- Using the wrong method to solve the equation