Use the tables to answer the question.

Go Gas
Gallons of Gas Miles Driven
5.5 170.5
10.2 316.2
12.0 372.0
14.5 449.5
Good Gas
Gallons of Gas Miles Driven
3.75 127.5
9.4 319.6
12.6 428.4
16.0 544.0
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?

(1 point)
Gabi can go
more miles per gallon if she uses gas from Good Gas for her car.
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1 answer

To find out how many more miles per gallon Gabi can get using Good Gas instead of Go Gas, we first need to calculate the miles per gallon for each gas brand.

For Go Gas:

  1. 5.5 gallons: \[ \text{Miles per Gallon} = \frac{170.5 \text{ miles}}{5.5 \text{ gallons}} \approx 31.00 \text{ miles/gallon} \]

  2. 10.2 gallons: \[ \text{Miles per Gallon} = \frac{316.2 \text{ miles}}{10.2 \text{ gallons}} \approx 31.00 \text{ miles/gallon} \]

  3. 12.0 gallons: \[ \text{Miles per Gallon} = \frac{372.0 \text{ miles}}{12.0 \text{ gallons}} = 31.00 \text{ miles/gallon} \]

  4. 14.5 gallons: \[ \text{Miles per Gallon} = \frac{449.5 \text{ miles}}{14.5 \text{ gallons}} \approx 31.00 \text{ miles/gallon} \]

Average miles per gallon for Go Gas: \[ \text{Average} \approx 31.00 \text{ miles/gallon} \]


For Good Gas:

  1. 3.75 gallons: \[ \text{Miles per Gallon} = \frac{127.5 \text{ miles}}{3.75 \text{ gallons}} = 34.00 \text{ miles/gallon} \]

  2. 9.4 gallons: \[ \text{Miles per Gallon} = \frac{319.6 \text{ miles}}{9.4 \text{ gallons}} \approx 34.00 \text{ miles/gallon} \]

  3. 12.6 gallons: \[ \text{Miles per Gallon} = \frac{428.4 \text{ miles}}{12.6 \text{ gallons}} \approx 34.00 \text{ miles/gallon} \]

  4. 16.0 gallons: \[ \text{Miles per Gallon} = \frac{544.0 \text{ miles}}{16.0 \text{ gallons}} = 34.00 \text{ miles/gallon} \]

Average miles per gallon for Good Gas: \[ \text{Average} \approx 34.00 \text{ miles/gallon} \]


Difference in miles per gallon:

Now we can calculate how many more miles per gallon Gabi can get by using Good Gas instead of Go Gas: \[ \text{Difference} = 34.00 \text{ miles/gallon} - 31.00 \text{ miles/gallon} = 3.00 \text{ miles/gallon} \]

Final Answer: Gabi can go 3 more miles per gallon if she uses gas from Good Gas for her car.

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