meleyy
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For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.



At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.


Complete the graph.

For an experiment a scientist designs a can 20 cm in height that can hold water A tube is installed at the bottom of the can allowing water to drain out At the class=
For an experiment a scientist designs a can 20 cm in height that can hold water A tube is installed at the bottom of the can allowing water to drain out At the class=

Respuesta :

ogorwyne

The answer to the completed table are

are f(0) = 20, f(1) = 20/3, f(2) = 20/9, f(3) = 20/27

The height of this water can regarded as a  function of time.

The function can be written as

[tex]f(t) = 20*(\frac{1}{3})^t[/tex]

We have to fill in the value of t at all points in the table into the formula that have been written above.

f(t) = 0

[tex]f(t) = 20*(\frac{1}{3})^0\\\\= 20[/tex]

F(t) = 1

[tex]f(t) = 20*(\frac{1}{3})^1\\\\\frac{20}{3}[/tex]

f(t) = 2

[tex]f(t) = 20*(\frac{1}{3})^2 \\\\= \frac{20}{9}[/tex]

for f(t) = 3

[tex]f(t) = 20*(\frac{1}{3})^3\\\\= \frac{20}{27}[/tex]

The completed table is contained in the attachment uploaded.

Read more on graph functions here: https://brainly.com/question/24696306

Ver imagen ogorwyne

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