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?
To find the difference in miles per gallon between Good Gas and Go Gas, we can subtract the number of miles driven by Go Gas from the number of miles driven by Good Gas for each data point.
For the first data point:
Good Gas: 127.5 miles / 3.75 gallons = 34 miles per gallon
Go Gas: 170.5 miles / 5.5 gallons = 31 miles per gallon
Difference: 34 - 31 = 3 miles per gallon
For the second data point:
Good Gas: 319.6 miles / 9.4 gallons = 34 miles per gallon
Go Gas: 316.2 miles / 10.2 gallons = 31 miles per gallon
Difference: 34 - 31 = 3 miles per gallon
For the third data point:
Good Gas: 428.4 miles / 12.6 gallons = 34 miles per gallon
Go Gas: 372.0 miles / 12.0 gallons = 31 miles per gallon
Difference: 34 - 31 = 3 miles per gallon
For the fourth data point:
Good Gas: 544.0 miles / 16.0 gallons = 34 miles per gallon
Go Gas: 449.5 miles / 14.5 gallons = 31 miles per gallon
Difference: 34 - 31 = 3 miles per gallon
Therefore, Gabi can go 3 more miles per gallon if she uses gas from Good Gas for her car.
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas, we need to compare the number of miles driven per gallon of gas for both brands.
For Go Gas:
- In the first row: 5.5 gallons of gas can drive 170.5 miles, so the mileage per gallon for Go Gas is 170.5/5.5 = 31 miles per gallon.
- In the second row: 10.2 gallons of gas can drive 316.2 miles, so the mileage per gallon for Go Gas is 316.2/10.2 = 31 miles per gallon.
- In the third row: 12.0 gallons of gas can drive 372.0 miles, so the mileage per gallon for Go Gas is 372.0/12.0 = 31 miles per gallon.
- In the fourth row: 14.5 gallons of gas can drive 449.5 miles, so the mileage per gallon for Go Gas is 449.5/14.5 = 31 miles per gallon.
For Good Gas:
- In the first row: 3.75 gallons of gas can drive 127.5 miles, so the mileage per gallon for Good Gas is 127.5/3.75 = 34 miles per gallon.
- In the second row: 9.4 gallons of gas can drive 319.6 miles, so the mileage per gallon for Good Gas is 319.6/9.4 = 34 miles per gallon.
- In the third row: 12.6 gallons of gas can drive 428.4 miles, so the mileage per gallon for Good Gas is 428.4/12.6 = 34 miles per gallon.
- In the fourth row: 16.0 gallons of gas can drive 544.0 miles, so the mileage per gallon for Good Gas is 544.0/16.0 = 34 miles per gallon.
Comparing the mileage per gallon for both brands, Gabi can go 34 - 31 = 3 more miles per gallon if she uses gas from Good Gas for her car.
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas instead of Go Gas, we need to compare the number of miles driven per gallon for each brand.
Let's calculate the miles per gallon (MPG) for both brands:
For Go Gas:
- MPG = Miles Driven / Gallons of Gas
For Good Gas:
- MPG = Miles Driven / Gallons of Gas
Calculating the MPG for Go Gas using the data provided:
- For the first set of data:
- MPG = 170.5 miles / 5.5 gallons = 31 MPG
- For the second set of data:
- MPG = 316.2 miles / 10.2 gallons = 31 MPG
- For the third set of data:
- MPG = 372.0 miles / 12.0 gallons = 31 MPG
- For the fourth set of data:
- MPG = 449.5 miles / 14.5 gallons = 31 MPG
Calculating the MPG for Good Gas using the data provided:
- For the first set of data:
- MPG = 127.5 miles / 3.75 gallons = 34 MPG
- For the second set of data:
- MPG = 319.6 miles / 9.4 gallons = 34 MPG
- For the third set of data:
- MPG = 428.4 miles / 12.6 gallons = 34 MPG
- For the fourth set of data:
- MPG = 544.0 miles / 16.0 gallons = 34 MPG
Comparing the MPG values, we can see that Gabi can go 3 more miles per gallon if she uses gas from Good Gas instead of Go Gas.