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25. A Toyota Prius is able to drive 565 miles on 11.9 gallons of gasoline (highway driving). A Honda Accord can drive 619 miles on 17.2 gallons of gasoline (highway driving). (Source: Fueleconomy.gov)

a. Which car gets better gas mileage?

[tex]\[
\frac{565 \text{ miles}}{11.9 \text{ gallons}} \quad \text{or} \quad \frac{619 \text{ miles}}{17.2 \text{ gallons}}
\][/tex]


Sagot :

Alright, let's solve the problem step by step.

To determine which car gets better gas mileage, we need to calculate the miles per gallon (mpg) for each car.

### 1. Calculate the gas mileage for the Toyota Prius
- Miles driven by the Toyota Prius: 565 miles
- Gallons of gasoline used by the Toyota Prius: 11.9 gallons

To find the gas mileage (mpg):
[tex]\[ \text{Gas Mileage of Prius} = \frac{\text{Miles driven by Prius}}{\text{Gallons used by Prius}} \][/tex]
[tex]\[ \text{Gas Mileage of Prius} = \frac{565}{11.9} \][/tex]

With the given values, the gas mileage for the Prius is:
[tex]\[ \text{Gas Mileage of Prius} \approx 47.48 \text{ miles per gallon} \][/tex]

### 2. Calculate the gas mileage for the Honda Accord
- Miles driven by the Honda Accord: 619 miles
- Gallons of gasoline used by the Honda Accord: 17.2 gallons

To find the gas mileage (mpg):
[tex]\[ \text{Gas Mileage of Accord} = \frac{\text{Miles driven by Accord}}{\text{Gallons used by Accord}} \][/tex]
[tex]\[ \text{Gas Mileage of Accord} = \frac{619}{17.2} \][/tex]

With the given values, the gas mileage for the Accord is:
[tex]\[ \text{Gas Mileage of Accord} \approx 35.99 \text{ miles per gallon} \][/tex]

### 3. Compare the gas mileage
We now compare the gas mileage of the two cars:
- Toyota Prius: 47.48 mpg
- Honda Accord: 35.99 mpg

Given these results, the car that gets better gas mileage is the Toyota Prius.

### Conclusion
The Toyota Prius gets better gas mileage than the Honda Accord, with the Prius achieving approximately 47.48 miles per gallon compared to the Accord's approximately 35.99 miles per gallon.
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