Question

1. you are running a fuel economy study. you want to find out which car can travel a greater distance on 1 gallon of gas.

a. what is the gas mileage, in miles per gallon, for the blue car?
b. what is the gas mileage, in miles per gallon, for the silver car?
c. which car could travel the greater distance on 1 gallon of gas?

Explanation:

Since no data about the blue car and the silver - car's fuel - economy is provided in the question, we cannot calculate the gas mileage. But if we assume we have the data in the form of distance traveled and gas used, the general steps to solve this problem are as follows:

Step1: Recall the gas - mileage formula

Gas mileage (miles per gallon) is calculated as $\text{Gas mileage}=\frac{\text{Distance traveled (in miles)}}{\text{Gas used (in gallons)}}$.

Step2: Calculate gas mileage for blue car

Let's assume the blue car travels $d_1$ miles on $g_1$ gallons of gas. Then the gas mileage of the blue car $m_1=\frac{d_1}{g_1}$.

Step3: Calculate gas mileage for silver car

Let's assume the silver car travels $d_2$ miles on $g_2$ gallons of gas. Then the gas mileage of the silver car $m_2=\frac{d_2}{g_2}$.

Step4: Compare gas mileages

If $m_1>m_2$, the blue car can travel a greater distance on 1 gallon of gas. If $m_1 < m_2$, the silver car can travel a greater distance on 1 gallon of gas. If $m_1=m_2$, both cars can travel the same distance on 1 gallon of gas.

Since we have no actual values, we cannot give a numerical answer. But if we had values, for example, if the blue car travels 30 miles on 1.5 gallons of gas and the silver car travels 25 miles on 1 gallon of gas:

Step1: Calculate blue - car gas mileage

$m_1=\frac{30}{1.5}=20$ miles per gallon.

Step2: Calculate silver - car gas mileage

$m_2 = 25$ miles per gallon.

Step3: Compare

Since $25>20$, the silver car can travel a greater distance on 1 gallon of gas.

If we had actual values:

Answer:

a. <Blue - car gas mileage value>
b. <Silver - car gas mileage value>
c. <Name of the car with higher gas mileage>