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The expression 12 g gives the number of kilometers a car can travel using g liters of gasoline. How far can this car travel on 5(1)/(2) liters of gasoline? ◻ km

The expression 12g 12 g gives the number of kilometers a car can travel using g g liters of gasoline.\newlineHow far can this car travel on 512 5 \frac{1}{2} liters of gasoline?\newline□ \square km \mathrm{km}

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Q. The expression 12g 12 g gives the number of kilometers a car can travel using g g liters of gasoline.\newlineHow far can this car travel on 512 5 \frac{1}{2} liters of gasoline?\newline□ \square km \mathrm{km}
  1. Understand Given Expression: Understand the given expression and what is asked.\newlineThe expression 12g12g tells us that the car travels 1212 kilometers for every liter of gasoline (where gg represents the number of liters of gasoline). We need to find out how far the car can travel on 5125\frac{1}{2} liters of gasoline.
  2. Convert to Improper Fraction: Convert the mixed number 5125\frac{1}{2} liters into an improper fraction to make the calculation easier.\newline5125\frac{1}{2} liters = (5×2+1)/2=(10+1)/2=112\left(5 \times 2 + 1\right)/2 = \left(10 + 1\right)/2 = \frac{11}{2} liters
  3. Calculate Distance: Use the given expression to calculate the distance the car can travel on 112\frac{11}{2} liters of gasoline.\newlineDistance = 12×(112)12 \times \left(\frac{11}{2}\right) km
  4. Perform Multiplication: Perform the multiplication to find the distance.\newlineDistance = 12×11212 \times \frac{11}{2} km\newlineDistance = (12×11)/2(12 \times 11)/2 km\newlineDistance = 1322\frac{132}{2} km\newlineDistance = 6666 km

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