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Chapter 1: Problem 12

What data would you need to estimate the money you would spend on gasoline to drive your car from New York to Chicago? Provide estimates of values and a sample calculation.

Short Answer

Expert verified
To estimate the money spent on gasoline for a car trip from New York to Chicago, we need the distance between the cities, the car's fuel efficiency, and the cost of gasoline per gallon. Assuming an approximate distance of 800 miles, a fuel efficiency of 30 mpg, and a cost of $3.00 per gallon, we would need approximately 27 gallons of gasoline for the trip. The estimated total cost for gasoline would be $81.00 (\( Total \, cost = 27 \, gallons × $3.00 \, per \, gallon \)). This value is approximate and may change based on various factors.

Step by step solution

01

Find the distance between New York and Chicago

Let's use an approximate distance of 800 miles for the car trip between New York and Chicago. This value may vary based on the exact route and starting/ending locations within the cities, but it serves as a reasonable estimate.
02

Determine the fuel efficiency of the car

To find out how many miles per gallon (mpg) the car can drive, check the car's manual or consult the manufacturer's website. Assume an average fuel efficiency of 30 miles per gallon for this exercise.
03

Find the cost of gasoline per gallon

Check a trusted source or website for the current average price of gasoline in the United States or the specific region. For demonstration purposes, we can assume an average cost of $3.00 per gallon.
04

Calculate the number of gallons of gasoline needed for the trip

Divide the total distance by the car's fuel efficiency to find the number of gallons of gasoline required for the trip: \( Gallons \, of \, gasoline = \frac{Distance}{Fuel \, efficiency} = \frac{800 \, miles}{30 \, mpg} \) \( Gallons \, of \, gasoline = 26.67 \, gallons \approx 27 \, gallons \)
05

Estimate the total cost of gasoline for the trip

Multiply the number of gallons needed by the cost per gallon to estimate the total cost of gasoline: \( Total \, cost = Gallons \, of \, gasoline × Cost \, per \, gallon \) \( Total \, cost = 27 \, gallons × $3.00 \, per \, gallon \) \( Total \, cost = $81.00 \) So the estimated cost of gasoline for the car trip from New York to Chicago is $81.00. Keep in mind that these values are approximate and may change based on factors like the specific route, fluctuating gas prices, and car fuel efficiency.

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