You drive an average of 450 miles per week in a car that gets 22 miles per gallon. with gasoline priced at $3.50 per gallon on average, approximately how much would you save each year on gas if you instead had a car that got 40 miles per gallon?
Question
Answer:
First we have to compute how much we spend money each year. Compute like this:
[tex] \frac{450}{22}=20.45 [/tex] is the number of gallons consumed each week.
In one year there is 48 weeks.
Then [tex]20.45\times48=981.6[/tex] is the number of gallons a year.
Now compute the price:
[tex]3.5\times981.6=\$3435,6[/tex]
We do the same process with a car consuming 40 miles per gallon.
tex] \frac{450}{40}=11.25 [/tex] gallon consumed per week.
[tex]11.25\times48=540[/tex] gallons consumed per year.
[tex]3.5\times540=\$1890[/tex] is the amount paid each year in gallons.
So we are saving the following amount:
[tex]\$3435,6-\$1890=\$1545[/tex]
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