A car uses 1 gallon of gasoline for every 25 miles driven. At the start of a trip the tank was full of gasoline. After driving 500 miles, there were 2 gallons of gasoline left in the tank. Which equation shows the amount of gasoline left in the tank, we, as a function of the number of miles driven, d

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Mathematics

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7 February, 06:55

A car uses 1 gallon of gasoline for every 25 miles driven. At the start of a trip the tank was full of gasoline. After driving 500 miles, there were 2 gallons of gasoline left in the tank. Which equation shows the amount of gasoline left in the tank, we, as a function of the number of miles driven, d

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Stanley · Answer 1

d = 22 - x / 25

Step-by-step explanation:

The first thing is to calculate the tank capacity, we know that per gallon 25 miles are traveled and at 500 miles there were still two gallons, therefore:

500 miles / 25 miles / gallon = 20

and how there were still 2

20 + 2 = 22

the tank has a 22 gallon capacity

Therefore the equation would be:

d = 22 - x / 25

where x is the number of miles traveled.

for example, if they have traveled 500 miles it would be:

d = 22 - 500/25 = 22 - 20

d = 2 gallons

we can verify that it is correct because it is what the statement says