Question 1: In the graph of a car's acceleration during a test drive, the Y-intercept represents the initial speed of the car before the test begins. If the graph shows the initial point at (0, 5), what is the initial speed of the car?

Answer: 5

Question 2: The graph of a bridge's deflection under load shows a Y-intercept of 2 meters when no load is applied. What does this Y-intercept indicate about the bridge?

Answer: The initial deflection or pre-existing displacement of the bridge before additional load.

Question 3: A graph shows the height of a drone over time, with the Y-intercept at (0, 10). What does this Y-intercept tell you about the drone's height at the start?

Answer: The drone starts at 10 meters height.

Question 4: Construct a graph where the Y-intercept is at (0, 3) and the line passes through (2, 7). Calculate the slope of this line.

Answer: 2

Question 5: A graph shows a manufacturing machine starting with a baseline output at a Y-intercept of 50 units. If the output increases linearly and reaches 150 units at 4 hours, what is the rate of increase per hour?

Answer: 25

Question 6: In an engineering graph, the Y-intercept indicates the initial condition of a parameter. If a graph's Y-intercept is incorrectly read as 0 when it is actually 4, what mistake has been made?

Answer: Misreading the initial value; the actual starting point was 4, not 0.

Question 7: The graph of a satellite's orbit shows a Y-intercept at (0, 200). What does this value represent in the context of the satellite's position?

Answer: The satellite's initial position at 200 units altitude.

Question 8: A graph illustrates the temperature of a machine over time with a Y-intercept at (0, 75). During maintenance, an engineer notices the temperature starts at 75°C. How does this relate to the graph?

Answer: It confirms the initial temperature reading at the start (time zero).

Question 9: Identify and correct the mistake: A graph shows a Y-intercept at (0, -3), but the initial condition in the problem states the starting point should be at +3.

Answer: The mistake is in the sign; the Y-intercept should be at (0, 3), not (0, -3).

Question 10: A graph relating to a bridge's deflection shows the Y-intercept at (0, 1.5). If the engineer expects no initial deflection, what might be wrong with the graph?

Answer: The graph incorrectly shows an initial deflection when it should be zero; possibly misread or miscalculated.