The fuel gauge in nic’s car says that he has 26 miles to go until his tank is empty. he passed a fuel station 19 miles ago, and a sign says there is a town only 8 miles ahead. if he takes a chance and drives ahead to the town and there isn’t a fuel station there, does he have enough fuel to go back to the last station? include a diagram along a number line, and use absolute value to find your answer

If he goes to the town and there is not a fuel station, he can not go back to the previous fuel station.

Step-by-step explanation:

Nic can only drive for another 26 miles.

If he goes to the town, that is 8 miles away, he will have a total of:

26 - 8 = 18 miles left.

Now, the fuel station was 19 miles away from the initial position, but he is now in the town, other 8 miles away, so he is at 19 + 8 = 27 miles away from the fuel station, and he only has 18 miles left, so he can not go back to the fuel station.