Question

A diver is jumping from a cliff into a river. The equation h(x)= -16x^2+20x+35 represents the divers height in feet over time in seconds.Based on the equation, the diver is blank feet above the water he jumps from the cliff

Answer 1

Step 1: Write out the equation and the given values.

`\begin{gathered} h(x)=-16x^2_{}+20x+35 \\ \text{where} \\ h(x)\text{ is the height in f}eet\text{ above the river x seconds from the start} \\ x\text{ is the time in seconds} \end{gathered}`

Before the diver jumps from the cliff,

`x=0s`

Step 2: Substitute the given value into the equation.

`h(0)=-16(0)^2+20(0)+35=0+0+35=35\text{ ft}`

Therefore, the diver is 35 feet above the water before he jumps from the cliff