Q:

The function h(t)= -1100t+20,000 models the height, h in feet of an airplane t minutes after its starts descending in order for it to land. What is the height of the airplane when its begins to descend? Explain

Accepted Solution

A:
Answer:20,000 ftStep-by-step explanation:This is a linear equation.  The negative sign in front of the 1100 indicates that the line is going from upper left to lower right, the path a plane would definitely travel when it is landing.  The 1100 is the speed at which the plane is traveling down.The standard form of a linear equation is y = mx + b where m is the rate of change (which is the same as the slope), and b is the y-intercept, which is found by replacing x with 0 and solving for y.  This is also known as the "starting point" for a linear situation.  Since the t in our equation represents the time that has gone by since the plane started its descent in hours, if we replace x with 0, we are effectively saying that NO time has gone by (and the plane has not yet begun to descend).  That means that the plane begins its descent at 20,000 feet in the air.