The average distance Alex can travel on a full tank of fuel is 41 miles/gallon.
To calculate the average distance Alex can travel on a full tank of fuel, we can use the following formula:
f(x) = (y2 - y1) / (x2 - x1)
where:
f(x) is the average distance in miles Alex can travel per gallon of fuel
y2 is the distance he can travel on a full tank of fuel
y1 is the distance he can travel on one gallon of fuel
x2 is the number of gallons of fuel his gas tank holds
x1 is the number of gallons of fuel he uses to travel one mile
Based on the graph, we can see that:
y2 is approximately 590 miles
y1 is approximately 45 miles
x2 is equal to the capacity of his gas tank, which is not explicitly stated in the problem but we can assume is 13 gallons (based on the fact that he can travel 590 miles on a full tank and his car's average distance per gallon is 45 miles)
x1 is equal to 1 gallon
Substituting these values into the formula, we get the following equation:
f(x) = (590 - 45) / (13 - 1) = 41 miles/gallon
Therefore, the average distance Alex can travel on a full tank of fuel is 41 miles per gallon.