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A ball is dropped from a height of 18 feet.The function f(x) = 18(0.75)* gives theheight in feet of each bounce, where x isthe bounce number. What will be theheight of the third bounce to the nearesttenth of a foot?

A Ball Is Dropped From A Height Of 18 FeetThe Function Fx 18075 Gives Theheight In Feet Of Each Bounce Where X Isthe Bounce Number What Will Be Theheight Of The class=

Sagot :

The height of the third bounce to the nearest tenth of a foot is 7.6 ft

Explanation:

The given function:

[tex]f(x)\text{ = }18\mleft(0.75\mright)^x[/tex]

f(x) = height in feet of each bounce

x represent the bounce number

For the third bounce, x = 3

replacing x with 3:

[tex]\begin{gathered} f(x)=18(0.75)^3 \\ f(x)\text{ = 18(0.4219)} \end{gathered}[/tex][tex]\begin{gathered} f(x)\text{ = }7.5942 \\ To\text{ the nearest tenth of foot = 7.6 ft} \end{gathered}[/tex]

The height of the third bounce to the nearest tenth of a foot is 7.6 ft

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