To determine how far Ian drove using 6 gallons of gas, we need to find out how many miles he can drive per gallon.
First, let's find the miles per gallon (MPG):
- Ian's car can go 273 miles on 7 gallons of gas.
- So, the MPG can be calculated as: \[ \text{MPG} = \frac{\text{Distance}}{\text{Gallons}} = \frac{273 \text{ miles}}{7 \text{ gallons}} \approx 39 \text{ miles per gallon} \]
Now that we have the miles per gallon, we can calculate the distance Ian drove with 6 gallons:
- Using the MPG to find out how far he drove with 6 gallons: \[ \text{Distance} = \text{MPG} \times \text{Gallons used} = 39 \text{ miles per gallon} \times 6 \text{ gallons} = 234 \text{ miles} \]
So, Ian drove 234 miles.
Explanation of the problem change:
If instead of knowing how much gas Ian used (6 gallons), we were given the distance he drove last weekend instead, we would need to determine how much gas Ian used for that trip.
For example, if we knew he drove 234 miles, we would use the MPG to calculate gas used: \[ \text{Gallons used} = \frac{\text{Distance}}{\text{MPG}} = \frac{234 \text{ miles}}{39 \text{ miles per gallon}} \approx 6 \text{ gallons} \] In this case, we would be solving for the gallons of gas used instead of the distance driven.