Question

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 each minute. In this situation, is the height of the water a function of time

Answer 1

In this situation, the height of the water is a linear function of the time.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be considered as the initial value.

In this problem:

• The full can has a height of 20 cm of water, hence b = 20.

• The height decreases by a factor of each minute, and this factor is the slope m.

Hence, the height of the water is a linear function of the time.

You can learn more about linear functions at brainly.com/question/24808124