Question

When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is

given by the equation h(x)= 160x - 16x² where x is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2
feet away from the sprinkler head?

Answer 1

Explanation:

To find the height of the spray 2 feet away from the sprinkler head, we need to evaluate the function h(x) at x = 2.

The given function is:

h(x) = 160x - 16x²

Now, substitute x = 2 into the function:

h(2) = 160 * 2 - 16 * 2²

h(2) = 320 - 16 * 4

h(2) = 320 - 64

h(2) = 256

So, the height of the spray 2 feet away from the sprinkler head is 256 inches.