Question

Jenny is diving into a swimming pool from a diving board. The expression below represents Jenny's vertical height, in feet, above the surface of the water after x seconds. -16x^2 +12x+10. Which statement best describes the term 10?

A. Jenny's initial height above the surface of the water
B. The time it takes Jenny to reach the surface of the water
C. The horizontal distance from the diving board Jenny travels
D. the maximum height Jenny reaches.

Answer 1

A. Jenny's initial height above the surface of the water

Explanation:

Given : The expression below represents Jenny's vertical height, in feet, above the surface of the water after x seconds.
`-16x^2 +12x+10.`

To Find: Which statement best describes the term 10?

Solution:

`h(x)=-16x^2 +12x+10.`

Substitute x = 0 i.e.time = 0 seconds

`h(x)=-16x^2 +12x+10.`

`h(0)=-16(0)^2 +12(0)+10.`

`h(0)=10`

so, at time 0 the height was 10

So, 10 is the initial height.

Thus Option A is correct.

A. 10 is Jenny's initial height above the surface of the water.

Answer 2

The correct answer is A. Jenny's initial height above the surface of the water