Use the tables to answer the question.

Go GasGallons of GasMiles Driven5.5170.510.2316.212.0372.014.5449.5 Good GasGallons of GasMiles Driven3.75127.59.4319.612.6428.416.0544.0

Based on the tables showing the number of miles driven per gallon of gas for two leading gas brands, Gabi determines that she should buy Good Gas instead of Go Gas. How many more miles per gallon can she go if she uses gas from Good Gas for her car?

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Gabi can go  more miles per gallon if she uses gas from Good Gas for her car.

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To determine how many more miles per gallon Gabi can go if she uses Good Gas instead of Go Gas, we need to find the average miles per gallon for each gas brand.

For Go Gas:

  • Miles Driven / Gallons of Gas:
    • 70.5 / 5.5 ≈ 12.82 mpg
    • 372.0 / 10.2 ≈ 36.53 mpg
    • 449.5 / 14.5 ≈ 31.0 mpg

Calculating the average for Go Gas: \[ \text{Average for Go Gas} = \frac{(12.82 + 36.53 + 31.0)}{3} \approx \frac{80.35}{3} \approx 26.78 \text{ mpg} \]

For Good Gas:

  • Miles Driven / Gallons of Gas:
    • 127.5 / 3.75 ≈ 34.0 mpg
    • 319.6 / 9.4 ≈ 34.0 mpg
    • 428.4 / 16.0 ≈ 26.77 mpg

Calculating the average for Good Gas: \[ \text{Average for Good Gas} = \frac{(34.0 + 34.0 + 26.77)}{3} \approx \frac{94.77}{3} \approx 31.59 \text{ mpg} \]

Comparing the averages:

  • Average for Go Gas: 26.78 mpg
  • Average for Good Gas: 31.59 mpg

To find how many more miles per gallon Gabi can achieve with Good Gas, we subtract the average miles per gallon of Go Gas from that of Good Gas: \[ 31.59 - 26.78 = 4.81 \text{ mpg} \]

Thus, Gabi can go approximately 4.81 more miles per gallon if she uses gas from Good Gas for her car.

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