The equation $\frac{d}{f}=g$ represents gallons of gasoline used, $g$, in terms of distance traveled and fuel efficiency. Which of the following uses 3 gallons of gasoline?
A. 57 miles and 19 miles per gallon
B. 7 miles and 21 miles per gallon
C. 23 miles and 20 miles per gallon
D. 32 miles and 35 miles per gallon
Answer (2)
The problem states that f d = g , where g is the gallons of gasoline used, d is the distance traveled, and f is the fuel efficiency.
For the first option, d = 57 miles and f = 19 miles per gallon, so g = 19 57 = 3 gallons.
The other options do not result in g = 3 gallons.
Therefore, the answer is 57 miles and 19 miles per gallon. 57 miles and 19 miles per gallon
Explanation
Understanding the Problem We are given the equation f d = g , where g represents the gallons of gasoline used, d is the distance traveled, and f is the fuel efficiency in miles per gallon. We need to find which of the given options results in g = 3 gallons.
Checking Option 1 Let's check each option:
Option 1: d = 57 miles, f = 19 miles per gallon. We calculate g = 19 57 .
Calculating Gallons for Option 1 19 57 = 3 . So, g = 3 gallons.
Checking Option 2 Option 2: d = 7 miles, f = 21 miles per gallon. We calculate g = 21 7 .
Calculating Gallons for Option 2 21 7 = 3 1 ≈ 0.33 . So, g ≈ 0.33 gallons.
Checking Option 3 Option 3: d = 23 miles, f = 20 miles per gallon. We calculate g = 20 23 .
Calculating Gallons for Option 3 20 23 = 1.15 . So, g = 1.15 gallons.
Checking Option 4 Option 4: d = 32 miles, f = 35 miles per gallon. We calculate g = 35 32 .
Calculating Gallons for Option 4 35 32 ≈ 0.91 . So, g ≈ 0.91 gallons.
Finding the Correct Option Only Option 1 gives us g = 3 gallons.
Examples
Understanding fuel consumption is crucial in logistics and transportation. For example, a delivery company needs to calculate the amount of fuel required for a specific route to optimize costs and plan fuel stops. By knowing the distance and the fuel efficiency of their vehicles, they can accurately estimate fuel usage, helping them manage resources effectively and reduce environmental impact. This also applies to personal travel, where estimating fuel consumption can aid in budgeting for road trips.
The option that uses 3 gallons of gasoline is 57 miles and 19 miles per gallon. This was determined by calculating the gallons of gasoline used for each choice based on the given formula. Only Option A resulted in approximately 3 gallons used.
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