Answer :
Final answer:
The x-intercept of the equation y = -10x + 3000 represents the time when the skydiver lands on the ground, which is 300 seconds. The slope of -10 in the equation means the skydiver falls at a rate of 10 feet per second.
Explanation:
The x-intercept of the equation y = -10x + 3000 represents the point where the graph of the equation crosses the x-axis, which corresponds to the time when the skydiver lands on the ground. To find the x-intercept, we set y to zero and solve for x:
0 = -10x + 3000
10x = 3000
x = 3000/10
x = 300
Therefore, the skydiver lands on the ground after 300 seconds.
The slope of the equation, -10, represents the rate at which the skydiver falls to the ground. Since the equation is in the form y = mx + b, where m is the slope, the slope of -10 means that the skydiver falls at a rate of 10 feet per second.
