Questions: The energy efficiency of electric vehicles is usually rated in terms of the kilowatt-hours (of energy) required to drive 100 miles, or kWh / 100 mi. An electric car is rated at 27 kWh / 100 mi. a. How much energy (in kilowatt-hours) is required to drive this electric car 140 miles? b. Assuming electricity costs 0.14 / kWh, how much does it cost to drive this electric car 90 miles? c. If you drive 12,600 miles in a year, what is the cost of a year's worth of travel in this electric car? d. If you drove a gas-powered car with mileage of 36 mi / gal and paid 2.40 / gal, how much would it cost to drive

The energy efficiency of electric vehicles is usually rated in terms of the kilowatt-hours (of energy) required to drive 100 miles, or kWh / 100 mi. An electric car is rated at 27 kWh / 100 mi. a. How much energy (in kilowatt-hours) is required to drive this electric car 140 miles? b. Assuming electricity costs 0.14 / kWh, how much does it cost to drive this electric car 90 miles? c. If you drive 12,600 miles in a year, what is the cost of a year's worth of travel in this electric car? d. If you drove a gas-powered car with mileage of 36 mi / gal and paid 2.40 / gal, how much would it cost to drive
Transcript text: The energy efficiency of electric vehicles is usually rated in terms of the kilowatt-hours (of energy) required to drive 100 miles, or $\mathrm{kWh} / 100 \mathrm{mi}$. An electric car is rated at $27 \mathrm{kWh} / 100 \mathrm{mi}$. a. How much energy (in kilowatt-hours) is required to drive this electric car 140 miles? b. Assuming electricity costs $\$ 0.14 / \mathrm{kWh}$, how much does it cost to drive this electric car 90 miles? c. If you drive 12,600 miles in a year, what is the cost of a year's worth of travel in this electric car? d. If you drove a gas-powered car with mileage of $36 \mathrm{mi} / \mathrm{gal}$ and paid $\$ 2.40 / \mathrm{gal}$, how much would it cost to drive
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Solution

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Solution Steps

Step 1: Calculate Energy Required for 140 Miles

To find the energy required to drive 140 miles, we use the given efficiency rating of the electric car, which is 27 kWh per 100 miles.

\[ \text{Energy required} = \left( \frac{27 \, \text{kWh}}{100 \, \text{mi}} \right) \times 140 \, \text{mi} \]

Step 2: Perform the Calculation

\[ \text{Energy required} = 27 \times 1.4 = 37.8 \, \text{kWh} \]

Final Answer

\[ \boxed{37.8 \, \text{kWh}} \]

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