Use the tables to answer the question.

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.

Answer 1

To determine how many more miles per gallon Gabi can go if she uses Good Gas instead of Go Gas, we first need to calculate the miles per gallon (MPG) for both brands.

For Go Gas:

1. For 5.5 gallons: $$\text{MPG}=\frac{170.5\text{ miles}}{5.5\text{ gallons}}\approx 30.91\text{ MPG}$$

2. For 10.2 gallons: $$\text{MPG}=\frac{316.2\text{ miles}}{10.2\text{ gallons}}\approx 31.00\text{ MPG}$$

3. For 12.0 gallons: $$\text{MPG}=\frac{372.0\text{ miles}}{12.0\text{ gallons}}=31.00\text{ MPG}$$

4. For 14.5 gallons: $$\text{MPG}=\frac{449.5\text{ miles}}{14.5\text{ gallons}}\approx 31.0\text{ MPG}$$

Average MPG for Go Gas: $$\text{Average MPG}=\frac{30.91+31.00+31.00+31.00}{4}\approx 30.98\text{ MPG}$$

For Good Gas:

1. For 3.75 gallons: $$\text{MPG}=\frac{127.5\text{ miles}}{3.75\text{ gallons}}=34.00\text{ MPG}$$

2. For 9.4 gallons: $$\text{MPG}=\frac{319.6\text{ miles}}{9.4\text{ gallons}}\approx 34.00\text{ MPG}$$

3. For 12.6 gallons: $$\text{MPG}=\frac{428.4\text{ miles}}{12.6\text{ gallons}}\approx 33.90\text{ MPG}$$

4. For 16.0 gallons: $$\text{MPG}=\frac{544.0\text{ miles}}{16.0\text{ gallons}}=34.00\text{ MPG}$$

Average MPG for Good Gas: $$\text{Average MPG}=\frac{34.00+34.00+33.90+34.00}{4}\approx 34.00\text{ MPG}$$

Difference in MPG: $$\text{Difference}=\text{Average MPG of Good Gas}-\text{Average MPG of Go Gas}=34.00-30.98\approx 3.02\text{ MPG}$$

Therefore, Gabi can go approximately 3.02 more miles per gallon if she uses Good Gas for her car.

Approximately, Gabi can go 3.0 more miles per gallon if she chooses Good Gas.