Jeffrey was practicing for an egg drop challenge with the engineering club. Each participant creates a device to hold an egg that is dropped from the top of a building. The egg that doesn’t break wins. The height of Jeffrey’s egg above the ground can be found using the function y=-2x+80, where x is the time in seconds that the egg has been in the air.
The graph below is provided in case you want to graph the function. It is intentionally blank.
Image: Texas Education Agency, Public Domain
How many seconds did it take the egg to reach the ground?
To find how many seconds it took for the egg to reach the ground, we need to find the x-value when y = 0.
Setting y = 0 in the given function -2x + 80 = 0.
Simplifying the equation, we get -2x = -80.
Dividing both sides by -2, we get x = 40.
Therefore, it took the egg 40 seconds to reach the ground.