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Chapter 1: Problem 58

In recent years, there has been a large push for an increase in the use of renewable resources to produce the energy we need to power our vehicles. One of the newer fuels that has become more widely available is E85, a mixture of 85% ethanol and 15% gasoline. Despite being more environmentally friendly, one of the potential drawbacks of E85 fuel is that it produces less energy than conventional gasoline. Assume a car gets 28.0 mi/gal using gasoline at \(3.50/gal and 22.5 mi/gal using E85 at \)2.85/gal. How much will it cost to drive 500. miles using each fuel?

Short Answer

Expert verified
The total cost of driving 500 miles using gasoline is $62.50, whereas the total cost using E85 fuel is $63.33. Gasoline is slightly less expensive; however, E85 is considered more environmentally friendly.

Step by step solution

01

Calculate the number of gallons required for each fuel type.

To calculate the number of gallons required for each fuel type, we will need to use the following formula: Number of gallons = Total miles to be driven / Miles per gallon (mi/gal) of the fuel type. For gasoline: Number of gallons = 500 miles / 28.0 mi/gal For E85: Number of gallons = 500 miles / 22.5 mi/gal
02

Calculate the total cost of driving 500 miles for each fuel type.

Now that we have the number of gallons required for each fuel type, we can calculate the total cost of driving 500 miles using each fuel type. We will use the formula: Total cost = Number of gallons x Cost per gallon. For gasoline: Total cost = Number of gallons (from Step 1) x $3.50/gal For E85: Total cost = Number of gallons (from Step 1) x $2.85/gal
03

Evaluate the results and solve for the total costs.

Now that we have the formulas set up for both gasoline and E85, let's solve for the total costs to drive 500 miles. For gasoline: Number of gallons = 500 miles / 28.0 mi/gal = 17.857 gallons (approx.) Total cost = 17.857 gallons x \(3.50/gal = \)62.50 For E85: Number of gallons = 500 miles / 22.5 mi/gal = 22.222 gallons (approx.) Total cost = 22.222 gallons x \(2.85/gal = \)63.33
04

Compare the total cost of driving 500 miles with each fuel type.

We have calculated the total costs of driving 500 miles using gasoline and E85 fuels, and the results are as follows: - Gasoline: $62.50 - E85: $63.33 By comparing the total costs, we can see that driving 500 miles using gasoline is slightly less expensive than using E85. However, it's essential to keep in mind that E85 is considered more environmentally friendly despite producing less energy than conventional gasoline.

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