The cost to operate such a car when gas is $3.19 per gallon and you drive 200 miles is $19.94. How much does it cost to operate this car if gas costs $2.89 per gallon and you drive 300 miles?

To solve this problem, we need to determine the car's fuel efficiency (miles per gallon) based on the given information and then use that to calculate the cost of driving 300 miles at a different gas price.

### Step 1: Calculate the car's fuel efficiency.
You know that the cost to drive 200 miles when gas is $3.19 per gallon is $19.94. Let's find out how many gallons of gas are used.

\[
\text{Gallons of gas used} = \frac{\text{Total cost}}{\text{Cost per gallon}} = \frac{19.94}{3.19} \approx 6.25 \text{ gallons}
\]

Now, using this information, we can find the car's fuel efficiency (miles per gallon):

\[
\text{Fuel efficiency} = \frac{\text{Miles driven}}{\text{Gallons of gas used}} = \frac{200}{6.25} = 32 \text{ miles per gallon}
\]

### Step 2: Calculate the cost to drive 300 miles at $2.89 per gallon.
First, find out how many gallons of gas are needed to drive 300 miles:

\[
\text{Gallons of gas needed} = \frac{300 \text{ miles}}{32 \text{ miles per gallon}} = 9.375 \text{ gallons}
\]

Now, calculate the cost:

\[
\text{Total cost} = \text{Gallons of gas needed} \times \text{Cost per gallon} = 9.375 \times 2.89 \approx 27.11 \text{ dollars}
\]

### Final Answer:
The cost to operate the car for 300 miles when gas is $2.89 per gallon is approximately **$27.11**.

Would you like more details on this, or have any questions?

Here are 5 related questions to consider:
1. How would the cost change if the car's fuel efficiency increased?
2. What if gas prices rise to $4.00 per gallon? How much would it cost then?
3. How does driving fewer miles impact overall fuel costs?
4. What is the break-even point for switching to a more fuel-efficient car?
5. How do maintenance costs compare with fuel costs over the lifetime of a car?

**Tip:** Monitoring your car's fuel efficiency can help you anticipate fuel costs more accurately and detect potential engine issues.

Learn how to calculate the cost of operating a car based on gas prices and mileage. Solve the problem involving driving 300 miles with gas priced at $2.89 per gallon using given fuel efficiency. Includes step-by-step calculation and cost analysis. Ideal for understanding ratio and proportion in real-world scenarios.

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