Ms. Green’s car has a 15-gallon gas tank. If f represents the fraction of a tank of gasoline left in Ms. Green’s car, which expression represents the number of gallons Ms. Green would need to pump in order to fill the tank?


a.15/f

b.15f

c.15-15f

d.15-15/f

Respuesta :

The number of gallons that needs to be pumped in is c. 15 - 15f

Since Ms. Green’s car has a 15-gallon gas tank and f represents the fraction of a tank of gasoline left in Ms. Green’s car.

Let x represent the fraction that needs to be pumped in.

Since x and f are fractions, we have that

x + f = 1

x = 1 - f

This is the fraction that needs to be pumped in.

Since the Ms. Green’s car has a 15-gallon gas tank, the number of gallons that needs to be pumped in to fill the tank is 15x = 15(1 - f) = 15 - 15f

So, the number of gallons that needs to be pumped in is c. 15 - 15f

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