Question

With a full tank of gas, you can drive 455 miles, and your car can go 27 miles per gallon. Write an equation to model this situation (use m for miles you can drive and g for gallons in the tank).

A) m = 27g + 455
B) m = 455g + 27
C) m = 455/g + 27
D) m = 455 - 27g

Answer 1

The equation to model this situation is m = 27g + 455. This equation represents the number of miles you can drive with a full tank of gas. The number of gallons in the tank is represented by g.

Step-by-step explanation:

The equation to model this situation is m = 27g + 455.

This equation represents the number of miles, represented by m, that you can drive with a full tank of gas. The number of gallons in the tank is represented by g.

The equation includes the constant term 455 because with a full tank of gas, you can already drive 455 miles without using any gas.

For each gallon of gas, your car can go 27 miles, so that is why we have the term 27g in the equation.