Go gas
Gallons of gas: 5.5, 10.2, 12.0, 14.5
Miles driven: 170.5, 316.2, 372.0, 449.5
Good gas
Gallons of gas: 3.75, 9.4, 12.6, 16.0
Miles driven: 127.5, 319.6, 428.4, 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 used gas from good gas for her car?
Gabi can go ____ 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 calculate the difference in miles driven per gallon for each brand.
For Go Gas:
- Miles driven for 5.5 gallons: 170.5 miles
- Miles driven for 10.2 gallons: 316.2 miles
- Miles driven for 12.0 gallons: 372.0 miles
- Miles driven for 14.5 gallons: 449.5 miles
For Good Gas:
- Miles driven for 3.75 gallons: 127.5 miles
- Miles driven for 9.4 gallons: 319.6 miles
- Miles driven for 12.6 gallons: 428.4 miles
- Miles driven for 16.0 gallons: 544.0 miles
Now we can calculate the difference in miles driven per gallon between the two brands:
- Go Gas: (316.2 - 170.5) / (10.2 - 5.5) = 145.7 / 4.7 ≈ 31 miles per gallon
- Good Gas: (319.6 - 127.5) / (9.4 - 3.75) = 192.1 / 5.65 ≈ 34 miles per gallon
Therefore, 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 for her car, we need to calculate the difference in miles driven per gallon between the two brands.
For Go gas:
- Gallons of gas: 5.5, 10.2, 12.0, 14.5
- Miles driven: 170.5, 316.2, 372.0, 449.5
For Good gas:
- Gallons of gas: 3.75, 9.4, 12.6, 16.0
- Miles driven: 127.5, 319.6, 428.4, 544.0
To compare the two brands, we can calculate the miles driven per gallon for each:
For Go gas:
- Miles per gallon: (170.5/5.5), (316.2/10.2), (372.0/12.0), (449.5/14.5)
For Good gas:
- Miles per gallon: (127.5/3.75), (319.6/9.4), (428.4/12.6), (544.0/16.0)
Let's calculate the values:
For Go gas:
- Miles per gallon: 31.0, 31.0, 31.0, 31.0
For Good gas:
- Miles per gallon: 34.0, 34.0, 34.0, 34.0
To find the difference, we subtract the miles per gallon for Go gas from the miles per gallon for Good gas:
- Difference: (34.0 - 31.0), (34.0 - 31.0), (34.0 - 31.0), (34.0 - 31.0)
Simplifying the calculation:
- Difference: 3.0, 3.0, 3.0, 3.0
Since the difference is consistent at 3.0 miles per gallon for each comparison, Gabi can go 3 more miles per gallon if she uses gas from Good gas for her car.
To find out how many more miles per gallon Gabi can go if she uses gas from Good Gas, we need to compare the miles driven per gallon for both brands.
- For Go Gas:
- Gallons of gas: 5.5, 10.2, 12.0, 14.5
- Miles driven: 170.5, 316.2, 372.0, 449.5
- For Good Gas:
- Gallons of gas: 3.75, 9.4, 12.6, 16.0
- Miles driven: 127.5, 319.6, 428.4, 544.0
To calculate the miles per gallon, we divide the miles driven by the gallons of gas for each brand:
- For Go Gas:
- Miles per gallon = Miles driven / Gallons of gas
- For Good Gas:
- Miles per gallon = Miles driven / Gallons of gas
Let's calculate the miles per gallon for each brand for the given data:
- For Go Gas:
- For the first data point (5.5 gallons and 170.5 miles driven):
Miles per gallon = 170.5 miles driven / 5.5 gallons of gas = 30.909 miles/gallon
- For the second data point (10.2 gallons and 316.2 miles driven):
Miles per gallon = 316.2 miles driven / 10.2 gallons of gas = 30.980 miles/gallon
- For the third data point (12.0 gallons and 372.0 miles driven):
Miles per gallon = 372.0 miles driven / 12.0 gallons of gas = 31.000 miles/gallon
- For the fourth data point (14.5 gallons and 449.5 miles driven):
Miles per gallon = 449.5 miles driven / 14.5 gallons of gas = 31.000 miles/gallon
- For Good Gas:
- For the first data point (3.75 gallons and 127.5 miles driven):
Miles per gallon = 127.5 miles driven / 3.75 gallons of gas = 34.000 miles/gallon
- For the second data point (9.4 gallons and 319.6 miles driven):
Miles per gallon = 319.6 miles driven / 9.4 gallons of gas = 34.043 miles/gallon
- For the third data point (12.6 gallons and 428.4 miles driven):
Miles per gallon = 428.4 miles driven / 12.6 gallons of gas = 34.000 miles/gallon
- For the fourth data point (16.0 gallons and 544.0 miles driven):
Miles per gallon = 544.0 miles driven / 16.0 gallons of gas = 34.000 miles/gallon
By comparing the miles per gallon for each brand, we can see that Gabi can go approximately 3.0 more miles per gallon if she uses gas from Good Gas for her car.