Question

A jetliner uses 3,600 gallons of fuel per hour while it is cruising, and there are 15,000 gallons of fuel in the jetliner's fuel tank when it begins to cruise. If y represents the amount of fuel, in thousands of gallons, remaining in the fuel tank after the jetliner cruises for x hours, determine the graph of the solution set for this situation and the equation modeled by the graph.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The amount of fuel remaining in the fuel tank after x hours can be modeled by the equation:

y = 15 - 3.6x

This equation represents a straight line with a y-intercept of 15 and a slope of -3.6. The graph of this equation is a line that starts at the point (0, 15) and decreases with a slope of -3.6.

Since the fuel tank cannot have a negative amount of fuel, the solution set for this situation would be limited to the first quadrant where x is non-negative and y is also non-negative.

Therefore, the graph of the solution set for this situation is a line starting at (0, 15) and decreasing towards the x-axis.