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.
Skip to navigation
To determine how many more miles per gallon Gabi can go if she uses gas from Good Gas for her car, we need to compare the miles driven per gallon for both brands.
From the Go Gas table, the miles driven per gallon are as follows:
- 5.5 gallons of gas = 170.5 miles driven
- 10.2 gallons of gas = 316.2 miles driven
- 12.0 gallons of gas = 372.0 miles driven
- 14.5 gallons of gas = 449.5 miles driven
From the Good Gas table, the miles driven per gallon are as follows:
- 3.75 gallons of gas = 127.5 miles driven
- 9.4 gallons of gas = 319.6 miles driven
- 12.6 gallons of gas = 428.4 miles driven
- 16.0 gallons of gas = 544.0 miles driven
Now we can calculate the difference in miles driven per gallon between the two brands:
For 5.5 gallons of gas:
- Go Gas: 170.5 miles driven / 5.5 gallons = 31 miles per gallon
- Good Gas: 127.5 miles driven / 3.75 gallons = 34 miles per gallon
For 10.2 gallons of gas:
- Go Gas: 316.2 miles driven / 10.2 gallons = 31 miles per gallon
- Good Gas: 319.6 miles driven / 9.4 gallons = 34 miles per gallon
For 12.0 gallons of gas:
- Go Gas: 372.0 miles driven / 12.0 gallons = 31 miles per gallon
- Good Gas: 428.4 miles driven / 12.6 gallons = 34 miles per gallon
For 14.5 gallons of gas:
- Go Gas: 449.5 miles driven / 14.5 gallons = 31 miles per gallon
- Good Gas: 544.0 miles driven / 16.0 gallons = 34 miles per gallon
From these calculations, we can see that 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 for both brands.
From the Go Gas table, we can see that the miles driven for each corresponding amount of gallons are as follows:
- 5.5 gallons: 170.5 miles
- 10.2 gallons: 316.2 miles
- 12.0 gallons: 372.0 miles
- 14.5 gallons: 449.5 miles
From the Good Gas table, we can see that the miles driven for each corresponding amount of gallons are as follows:
- 3.75 gallons: 127.5 miles
- 9.4 gallons: 319.6 miles
- 12.6 gallons: 428.4 miles
- 16.0 gallons: 544.0 miles
To determine how many more miles per gallon Gabi can go with Good Gas, we need to find the difference in miles driven for each corresponding gallon amount.
For example, for 5.5 gallons:
- Go Gas: 170.5 miles
- Good Gas: 127.5 miles
The difference is 170.5 - 127.5 = 43 miles.
By comparing the miles driven for each corresponding gallon amount, we can calculate the difference for each case. Once we have the differences, we can find the average to determine the overall difference in miles per gallon.
Let's calculate the differences for each case:
For 5.5 gallons:
Go Gas: 170.5 miles
Good Gas: 127.5 miles
Difference: 170.5 - 127.5 = 43 miles
For 10.2 gallons:
Go Gas: 316.2 miles
Good Gas: 319.6 miles
Difference: 319.6 - 316.2 = 3.4 miles
For 12.0 gallons:
Go Gas: 372.0 miles
Good Gas: 428.4 miles
Difference: 428.4 - 372.0 = 56.4 miles
For 14.5 gallons:
Go Gas: 449.5 miles
Good Gas: 544.0 miles
Difference: 544.0 - 449.5 = 94.5 miles
Now, let's calculate the average difference:
(43 + 3.4 + 56.4 + 94.5) / 4 = 49.85
Therefore, on average, Gabi can go approximately 49.85 more miles per gallon if she uses gas from Good Gas for her car.
To calculate the difference in miles per gallon between Good Gas and Go Gas, we need to subtract the miles driven per gallon for Go Gas from the miles driven per gallon for Good Gas.
For Go Gas:
5.5 gallons of gas = 170.5 miles driven
10.2 gallons of gas = 316.2 miles driven
12.0 gallons of gas = 372.0 miles driven
14.5 gallons of gas = 449.5 miles driven
For Good Gas:
3.75 gallons of gas = 127.5 miles driven
9.4 gallons of gas = 319.6 miles driven
12.6 gallons of gas = 428.4 miles driven
16.0 gallons of gas = 544.0 miles driven
Now, let's calculate the difference in miles per gallon:
For Go Gas:
Miles per gallon = Total miles driven / Total gallons of gas
Miles per gallon = (170.5 + 316.2 + 372.0 + 449.5) / (5.5 + 10.2 + 12.0 + 14.5)
Miles per gallon = 1308.2 / 42.2
Miles per gallon for Go Gas = 31.00
For Good Gas:
Miles per gallon = Total miles driven / Total gallons of gas
Miles per gallon = (127.5 + 319.6 + 428.4 + 544.0) / (3.75 + 9.4 + 12.6 + 16.0)
Miles per gallon = 1419.5 / 41.75
Miles per gallon for Good Gas = 33.99
The difference in miles per gallon between Good Gas and Go Gas is:
33.99 - 31.00 = 2.99
Therefore, Gabi can go 2.99 more miles per gallon if she uses gas from Good Gas for her car.