Go gas. Good gas
Gallons. Miles. Gallons. Miles
5.5. 170.5. 3.75. 127.5
10.2. 316.2. 9.4. 319.6
12.0. 372.0. 12.6. 428.4
14.5. 449.5. 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 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 per gallon between the two brands.
For Go gas:
- Miles per gallon = Total miles driven / Total gallons used
- For the first set of data: 170.5 miles / 5.5 gallons = 31 miles per gallon
- For the second set of data: 316.2 miles / 10.2 gallons = 31.02 miles per gallon
- For the third set of data: 372.0 miles / 12.0 gallons = 31 miles per gallon
- For the fourth set of data: 449.5 miles / 14.5 gallons = 31 miles per gallon
For Good gas:
- Miles per gallon = Total miles driven / Total gallons used
- For the first set of data: 127.5 miles / 3.75 gallons = 34 miles per gallon
- For the second set of data: 319.6 miles / 9.4 gallons = 34 miles per gallon
- For the third set of data: 428.4 miles / 12.6 gallons = 34 miles per gallon
- For the fourth set of data: 544.0 miles / 16.0 gallons = 34 miles per gallon
From the data, we can see that Gabi can go 3 more miles per gallon if she uses gas from Good gas instead of Go gas.
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 per gallon for both brands.
For Go gas:
- In the first scenario, Gabi drove 170.5 miles with 5.5 gallons, which gives us a rate of 170.5/5.5 = 31 miles per gallon.
- In the second scenario, Gabi drove 316.2 miles with 10.2 gallons, which gives us a rate of 316.2/10.2 = 30.98 miles per gallon.
- In the third scenario, Gabi drove 372.0 miles with 12.0 gallons, which gives us a rate of 372.0/12.0 = 31 miles per gallon.
- In the fourth scenario, Gabi drove 449.5 miles with 14.5 gallons, which gives us a rate of 449.5/14.5 = 30.97 miles per gallon.
For Good gas:
- In the first scenario, Gabi drove 127.5 miles with 3.75 gallons, which gives us a rate of 127.5/3.75 = 34 miles per gallon.
- In the second scenario, Gabi drove 319.6 miles with 9.4 gallons, which gives us a rate of 319.6/9.4 = 34 miles per gallon.
- In the third scenario, Gabi drove 428.4 miles with 12.6 gallons, which gives us a rate of 428.4/12.6 = 34 miles per gallon.
- In the fourth scenario, Gabi drove 544.0 miles with 16.0 gallons, which gives us a rate of 544.0/16.0 = 34 miles per gallon.
By comparing the rates, we can see that 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 travel if she uses Good gas instead of Go gas, we need to compare the number of miles driven per gallon for each brand.
Let's take a look at the data given for both brands:
Go gas:
- 5.5 gallons = 170.5 miles
- 10.2 gallons = 316.2 miles
- 12.0 gallons = 372.0 miles
- 14.5 gallons = 449.5 miles
Good gas:
- 3.75 gallons = 127.5 miles
- 9.4 gallons = 319.6 miles
- 12.6 gallons = 428.4 miles
- 16.0 gallons = 544.0 miles
Now, we can calculate the average miles per gallon for each brand by dividing the total miles by the total gallons:
For Go gas:
- Average miles per gallon = (170.5 + 316.2 + 372.0 + 449.5) / (5.5 + 10.2 + 12.0 + 14.5)
- Average miles per gallon = 1,308.2 / 42.2
- Average miles per gallon = 31.002
For Good gas:
- Average miles per gallon = (127.5 + 319.6 + 428.4 + 544.0) / (3.75 + 9.4 + 12.6 + 16.0)
- Average miles per gallon = 1,419.5 / 41.75
- Average miles per gallon = 33.986
So, Gabi can travel approximately 2.984 (rounded to three decimal places) more miles per gallon if she uses Good gas instead of Go gas.