Question

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, ft, in feet, at different times t in seconds:

f(t) = -16t2 + 32t + 90

The average rate of change of f(t) from t = 4 seconds to t = 6 seconds is _____ feet per second.

Answer 1

@Jamierox4ev3r

Answer 2

we'll be using the formula for average rate of change

[f(6)-f(4)] / (6-4)

so, first start by finding f(6)-f(4) = ?

Answer 3

6-4=2 @Vocaloid

Answer 4

not quite

f(t) = -16t^2 + 32t + 90

f(6) = ?

Answer 5

oh!! 90? @Vocaloid

Answer 6

almost, but not quite...

t = 6

-16t^2 = ?

Answer 7

^ means exponent

Answer 8

whoops i wrote it down wrong on my paper hold on @Vocaloid

Answer 9

i got 858? @Vocaloid

Answer 10

forgot the negative ugh hold on

Answer 11

-294**** @Vocaloid

Answer 12

good, so f(6) = -294

now find f(4)

Answer 13

how do i do that?

Answer 14

@Vocaloid

Answer 15

using the same method you just did, just set t = 4 instead of 6

Answer 16

okay hold on

Answer 17

-38 @Vocaloid

Answer 18

good, now plug everything back into our formula

{f(6)-f(4)] / (6-4)

Answer 19

so -294+38? @Vocaloid

Answer 20

that's part of it

the numerator is f(6) - f(4) = -294+38

and the denominator is (6-4)

so divide the numerator by the denominator

Answer 21

so -256/2?

Answer 22

yes

Answer 23

-128?

Answer 24

is that right?

Answer 25

@Vocaloid

Answer 26

yup

Answer 27

so the final answer is -128?

Answer 28

@Vocaloid

Answer 29

yes

Answer 30

AWESOME THANK YOU SO MUCH, how do i give u a medal? @Vocaloid

Answer 31

click "best response" next to my name

thanks, I'm glad I could be of service

Answer 32

never mind got it!

Answer 33

thanks so much honesttly !