Question

For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A

Answer 1

Step-by-step explanation:

The height of the water in the can is a function of time, because it depends on the time the water flows out each minute.

The height h in cm is a function f of time t in minutes since poking the hole, h= f(t)h=f(t). The expression for f(t) = 20. \frac{2}{3}^{t}f(t)=20.

3

2

t

The values of f -> f(0) = 20f(0)=20; f(1) = \frac{40}{3}f(1)=

3

40

; f(2) = \frac{80}{9}f(2)=

9

80

; f(3) = \frac{160}{27}f(3)=

27

160

The value of f(5) = \frac{640}{243}f(5)=

243

640

The level of water approaches close to the x-axis as time moves on. It does not completely approach zero.

Sorry if wrong answer