Five days a week, you carpool with 3 co-workers and take turns driving each week. it is 14 miles from your home to your office. when you drive the carpool you must go an extra 4 miles to pick up your co-workers. if your car averages 18 miles per gallon, about how many gallons of gas should you save every 4 weeks by carpooling?

You will save 21.11 gallons of gas every 4 weeks by carpooling.

Step-by-step explanation:

It is 14 miles from your home to your office. Means 28 miles total while returning.

And if there is no carpool, you will drive = miles

And amount of gas used will be = gallons

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Now, when you are car pooling, you will save the cost for three weeks means you will take out your car for 1 week only.

But you have to go additional 8 miles (including dropping off the co worker)

So, the total journey for 1 day will be of miles

Hence, for 1 week, you will drive : miles.

Gallons of gas used = gallons

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So, gallons of gas saved = gallons

Hence, you will save 21.11 gallons of gas every 4 weeks by carpooling.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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step-by-step explanation:

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