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The formula for the remaining volume of fuel in a car's tank is 
I-E*D, where 
I is the initial volume of fuel, 
E is the fuel efficiency, and 
D is the distance traveled.
Carson drove a distance of 120 kilometers. He initially had 30 liters of fuel, and his car's fuel efficiency is 100 cubic centimeters per kilometer.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Choose 1 answer:
(A) 
30-(100)/(1000)*120
(B) 
30*1000-100*120
(C) 
(30)/(1000)-100*120
(D) 
30-100*1000*120

The formula for the remaining volume of fuel in a car's tank is IED I-E \cdot D , where I I is the initial volume of fuel, E E is the fuel efficiency, and D D is the distance traveled.\newlineCarson drove a distance of 120120 kilometers. He initially had 3030 liters of fuel, and his car's fuel efficiency is 100100 cubic centimeters per kilometer.\newlineWhat calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?\newlineChoose 11 answer:\newline(A) 301001000120 30-\frac{100}{1000} \cdot 120 \newline(B) 301000100120 30 \cdot 1000-100 \cdot 120 \newline(C) 301000100120 \frac{30}{1000}-100 \cdot 120 \newline(D) 301001000120 30-100 \cdot 1000 \cdot 120

Full solution

Q. The formula for the remaining volume of fuel in a car's tank is IED I-E \cdot D , where I I is the initial volume of fuel, E E is the fuel efficiency, and D D is the distance traveled.\newlineCarson drove a distance of 120120 kilometers. He initially had 3030 liters of fuel, and his car's fuel efficiency is 100100 cubic centimeters per kilometer.\newlineWhat calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?\newlineChoose 11 answer:\newline(A) 301001000120 30-\frac{100}{1000} \cdot 120 \newline(B) 301000100120 30 \cdot 1000-100 \cdot 120 \newline(C) 301000100120 \frac{30}{1000}-100 \cdot 120 \newline(D) 301001000120 30-100 \cdot 1000 \cdot 120
  1. Understand Problem: Understanding the problem and identifying the correct formula to use.\newlineThe problem gives us the formula for calculating the remaining volume of fuel in a car's tank, which is IEDI-E\cdot D. Here, II is the initial volume of fuel, EE is the fuel efficiency (in cubic centimeters per kilometer), and DD is the distance traveled (in kilometers). We need to find the correct calculation that represents the remaining volume of fuel in Carson's tank, in liters, after driving a distance of 120120 kilometers with an initial fuel volume of 3030 liters and a fuel efficiency of 100100 cubic centimeters per kilometer.
  2. Convert Units: Converting the given values to a consistent unit.\newlineSince the fuel efficiency is given in cubic centimeters per kilometer, and the initial volume of fuel is in liters, we need to remember that 11 liter =1000= 1000 cubic centimeters. This conversion is crucial for maintaining consistency in units throughout the calculation.
  3. Identify Correct Option: Identifying the correct option based on the formula and unit conversion.\newlineThe formula IE×DI-E\times D requires us to subtract the product of fuel efficiency (EE) and distance (DD) from the initial volume of fuel (II). Since EE is in cubic centimeters per kilometer and II is in liters, we need to ensure that the units are consistent. Option (A) 301001000×12030-\frac{100}{1000}\times 120 correctly applies the formula and accounts for the unit conversion by dividing the product of EE and DD by 10001000 to convert cubic centimeters to liters. This is the correct approach to find the remaining volume of fuel in liters.

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