Your gas tank holds 13.5 gallons of gas your fuel gauge shows that your tank is one quarter full your car gets an average of 25 miles per gallon the gps show that you are 85 miles from your destination. Your brother says you will make it is he? Use unit analysis to justify your response

Question

Mathematics

Kaya Malone

11 November, 08:37

Your gas tank holds 13.5 gallons of gas your fuel gauge shows that your tank is one quarter full your car gets an average of 25 miles per gallon the gps show that you are 85 miles from your destination. Your brother says you will make it is he? Use unit analysis to justify your response

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Answers (1)

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Werner · Answer 1

The brother is likely wrong.

Step-by-step explanation:

The range of the vehicle with a full tank is ...

(13.5 gal/tank) (25 mi/gal) = 337.5 mi/tank

You have 1/4 tank, so your range is ...

(337.5 mi/tank) (1/4 tank) = 84.375 mi

If you make the 85 mile distance, it will be because you achieved gas mileage better than average and/or your gas gauge gives you some cushion.

Unit analysis says you do not have the necessary range.