Can someone help me with this? Someone was helping, but I'm still confused!
Amos gets in an elevator at the 30th floor and begins to move downward at a speed of 8 feet per second. After 12 seconds, the elevator is 240 feet above the ground.
A.) Let y= the height in feet of the elevator x seconds after Amos gets into the elevator. Write an equation to show the relationship between x and y.
B.) Explain how you found your equation in PART A.
C.) Use your equation to find the height of the elevator when Amos gets in. SHOW ALL WORK!
D.) Use your equation to find how long it will take the elevator to reach ground level. SHOW ALL WORK!
I've never heard of a subject called "Help:)" before.
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A.) The height of the elevator can be represented by the equation y = 240 - 8x.
B.) To find the equation in PART A, we need to understand the given information. We know that Amos gets into the elevator at the 30th floor, which has a height of 30 * 8 = 240 feet. Since the elevator is moving downwards at a speed of 8 feet per second, the height of the elevator decreases at a rate of 8 feet per second. Therefore, we subtract 8x from 240 to represent the decrease in height after x seconds.
C.) To find the height of the elevator when Amos gets in, we substitute x = 0 into the equation y = 240 - 8x.
y = 240 - 8(0) = 240 - 0 = 240.
Therefore, the height of the elevator when Amos gets in is 240 feet.
D.) To find how long it will take the elevator to reach ground level, we substitute y = 0 into the equation y = 240 - 8x.
0 = 240 - 8x.
Subtracting 240 from both sides of the equation, we get:
-240 = -8x.
Dividing both sides by -8, we have:
x = 30.
Therefore, it will take 30 seconds for the elevator to reach ground level.