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1-9 Automobile repair shops typically recommend that their customers change their oil and oil filter every 3,000 miles. Your automobile user's manual suggests changing your oil every 5,000–7,000 miles. If you drive your car 15,000 miles each year and an oil and filter change costs $30, how much money would you save each year if you had this service performed every 5,000 miles?

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Answer:

$60 per year

Explanation:

Calculation for how much money would you save each year

First step is to calculate for the cost of Changing the oil every 3,000 miles

Cost of Changing oil every 3,000 miles:

Cost = (15,000/3,000)*$30

Cost =5*$30

Cost = $150 per year

Second step is to calculate for the cost of Changing the oil every 5,000 miles

Cost of Changing oil every 5,000 miles:

Cost = (15,000/5,000)*$30

Cost =3*$30

Cost = $90 per year

Last step is to calculate how much money would you save each year using this formula

Savings =Cost of Changing oil every 3,000 miles-Cost of Changing oil every 5,000 miles

Let plug in the formula

Savings= $150 per year-$90 per year

Savung=$60 per year

Therefore the amount of money you would save each year will be $60 per year

The Total money saved in the case when the service is performed for each and every 5000 miles should be $60 per year.

Calculation of the saving amount:

Since

Oil and oil filter costs $30.

Each year drive 15,000 miles.

So,

Difference when car serviced at 3,000 and 5,000 miles.

Difference = Total cost of service in 3,000 - Total cost of service in 5,000

Where,  Total cost of service = (Total run [tex]\div[/tex] service miles) [tex]\times[/tex] filter cost

So, Difference =  [(15,000 [tex]\div[/tex] 3,000) [tex]\times[/tex] $30] - (15,000 [tex]\div[/tex] 5,000) [tex]\times[/tex] $30

= (5 [tex]\times[/tex] $30) - (3 [tex]\times[/tex] $30)

= $150 - $90

= $60

So, Total money saved each year will be $60.

Learn more about service here: https://brainly.com/question/24353642

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