A producer of synthetic motor oil for automobiles and light trucks has made the

Question

A producer of synthetic motor oil for automobiles and light trucks has made the following statement: "One quart of Dynolube added to your next oil change will increase fuel mileage by

one percent. This one-time additive will improve your fuel mileage over

50000 miles of driving."

a. Assume the company's claim is correct. How much money will be saved by adding one quart of Dynolube if gasoline costs

$4.21

per gallon and your car averages

18

miles per gallon without the Dynolube?

b. If a quart of Dynolube sells for

$19.94,

would you use this product in your automobile?

Explanation / Answer

one-time additive will improve your fuel mileage over 50000 miles of driving.

Average of Car = 18 miles per gallon.

Fuel (gasoline) used for driving 50000 miles = 50000/18 = 25000/ 9 gallon

Cost of gasoline = $4.21 per gallon

Total cost = 4.21 * 25000/9 = $11694.44

a)

Now, if One quart of Dynolube added to your next oil change will increase fuel mileage by one percent.

1% of mileage 18 = 0.18

New mileage = 18+0.18 = 18.18 miles per gallon

Fuel (gasoline) used for driving 50000 miles = 50000/18.18 = 2750.275 gallons

Cost of gasoline = $4.21 per gallon

Total cost = 4.21 * 2750.275 = $11578.66

Money saved = 11694.44 - 11578.66 = $115.78

b)

If a quart of Dynolube sells for $19.94

that saves $115.78

So, we can use this product in our automobile.

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