what are the minimum and maximum distances a car can travel if it has a 15 gallon tank and can travel 26 miles per gallon with an absolute deviation of 4miles per gallon?

15(26-4) <= x <= 15(26+4)

To find the minimum and maximum distances a car can travel, we need to consider the average mileage provided by the car's fuel efficiency and factor in the absolute deviation. Here's how you can calculate it:

Step 1: Calculate the average mileage per gallon:
The given fuel efficiency is 26 miles per gallon. Since there is an absolute deviation of 4 miles per gallon, we can calculate the average as follows:
Average mileage per gallon = Fuel efficiency - Absolute deviation
= 26 - 4
= 22 miles per gallon

Step 2: Calculate the minimum distance:
To find the minimum distance, we assume the car will be least fuel-efficient. Multiply the average mileage per gallon by the capacity of the car's tank:
Minimum distance = Average mileage per gallon x Tank capacity
= 22 miles per gallon x 15 gallons
= 330 miles

Step 3: Calculate the maximum distance:
To find the maximum distance, we assume the car will be most fuel-efficient. Multiply the average mileage per gallon by the capacity of the car's tank:
Maximum distance = Average mileage per gallon x Tank capacity
= 22 miles per gallon x 15 gallons
= 330 miles

Therefore, the minimum and maximum distances the car can travel are both 330 miles, assuming a 15-gallon tank, a fuel efficiency of 26 miles per gallon, and a 4-mile per gallon absolute deviation.