https://file.aiquickdraw.com/mathbot/file/17259910317831cf2vt5u.jpg

The problem provided in the image is as follows:

- Ian's car can go **228 miles** on **6 gallons of gas**.
- During a drive last weekend, Ian used **5 gallons of gas**.
- The question asks how far Ian drove with 5 gallons.

### Step-by-Step Solution:

1. First, calculate the miles per gallon Ian's car can travel:
   \[
   \text{Miles per gallon} = \frac{228 \, \text{miles}}{6 \, \text{gallons}} = 38 \, \text{miles per gallon}
   \]

2. Now, use this rate to find how far Ian drove with 5 gallons:
   \[
   \text{Distance driven} = 38 \, \text{miles per gallon} \times 5 \, \text{gallons} = 190 \, \text{miles}
   \]

### Final Answer:
Ian drove **190 miles**.

### Explanation for the change in problem if the distance is given instead of gas:
- If the distance Ian drove was given (e.g., 190 miles), and you were asked to find how much gas he used, you would use the same miles per gallon rate (38 miles per gallon) to find the gas usage.
   \[
   \text{Gas used} = \frac{\text{Distance}}{\text{Miles per gallon}} = \frac{190 \, \text{miles}}{38 \, \text{miles per gallon}} = 5 \, \text{gallons}
   \]

Do you want further details on this solution or have any specific questions?

Here are 5 related questions:
1. What is the formula for miles per gallon (MPG)?
2. How would the answer change if Ian's car could only go 180 miles on 6 gallons of gas?
3. What would the distance be if Ian used 7 gallons instead of 5 gallons?
4. How can you use a proportion to solve this type of problem?
5. What happens if the car's efficiency improves and it goes 250 miles on 6 gallons of gas?

**Tip:** Always remember to check if the values in the question are proportional when dealing with rate problems like this one.

Ian's car can go 228 miles on 6 gallons of gas. During a drive last weekend, Ian used 5 gallons of gas. How far did he drive? How would the problem change if you were given the distance Ian drove instead of how much gas he used?

Learn how to calculate the distance Ian drove using his car's miles per gallon rate. This problem involves key math concepts such as proportions and rate calculations. Suitable for middle school students.

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