Question
5. Gasoline is priced at \( \$ 3.39 \) per /gallon. Write an equation to represent the total cost, \( y \), of purchasing \( x \) number of gallons.
Ask by Flynn Collins. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The total cost \( y \) of purchasing \( x \) gallons of gasoline at \$3.39 per gallon is given by:
\[
y = 3.39x
\]
Solution
To represent the total cost \( y \) of purchasing \( x \) gallons of gasoline priced at \$3.39 per gallon, you can use the following linear equation:
\[
y = 3.39x
\]
**Explanation:**
- **\( y \)** represents the total cost in dollars.
- **\( x \)** represents the number of gallons purchased.
- **3.39** is the cost per gallon in dollars.
**Example:**
If you purchase 10 gallons of gasoline, the total cost would be:
\[
y = 3.39 \times 10 = \$33.90
\]
This equation shows that the total cost increases linearly with the number of gallons purchased.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To represent the total cost \( y \) of purchasing \( x \) gallons of gasoline priced at \( \$ 3.39 \) per gallon, the equation is: \( y = 3.39x \). This means for every gallon you buy, you simply multiply the number of gallons by the price per gallon to get the total cost. Imagine you're planning a road trip, and you're figuring out how much gas you'll need. If you estimate you'll use 10 gallons, just plug that into your equation: \( y = 3.39 \times 10 \), and voilà, you're looking at a total cost of \( \$ 33.90 \) for gas! Calculating costs this way can help you budget better for your adventures on the road.
