Question

Robby and his friend, Sal, are at the top of a lookout tower. Sal dares Robby to drop one of his favorite Jordans from the top of the 210 feet tall platform. The height h of the shoe in feet after x seconds is modeled by the function

h(x) = −142 + 210. How long will it take, in seconds, for the shoe to reach the ground?

Answer 1

About 1.48 seconds

Explanation:

"Reach the ground" means that at the very moment that happens, the height of the shoe is 0.

The question now is, what value of x that will make the height (the value of the function) equal to 0.

Assumine the function is h(x) = -142x + 210 (I don't see x in the formula for the function.)

Solve for x:

-142x + 210 = 0

Subtract 210.

-142x = -210

Divide by -142.

x = -210 / -142 = 1.48 seconds (rounded to nearest hundredth)