The gas tank in Feliz’s car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. What equation represents the number of times feliz can drive to or from work with the gas in his tank?
Let x be the number of times Feliz can drive to or from work with the gas in his tank.
Each time he drives to or from work, he uses 1/12 of a full tank of gas.
Therefore, the amount of gas he uses after x trips is (1/12) * x.
Since the gas tank is currently 5/6 full, the amount of gas he has left is (5/6) - (1/12)x.
If he runs out of gas, then the amount of gas left is 0.
Therefore, the equation that represents the number of times Feliz can drive to or from work with the gas in his tank is:
(5/6) - (1/12)x = 0
Simplifying this equation, we get:
5x = 6
x = 6/5
Therefore, Feliz can drive to or from work 6/5 times before running out of gas.