Question

An aquarium is being drained. The amount of water in the aquarium, in liters, can be determined by using the function w(x) = 20 - 10 The variable x is the number of seconds after the drain plug is removed. Select EACH true statement about the scenario. The function is a linear equation. The y-intercept of 20 is the initial amount of payater in the aquarium. The slope represents how fast the water is being drained.​

Answer 1

Answer:

The answer is all three

Step-by-step explanation:

Answer 2

The function that represents the draining of the aquarium is an illustration of a linear function.

All statements are true about the scenario.

The function is given as:

$\mathbf{w(x) = 20 - 10x}$

A linear function is represented as:

$\mathbf{y =mx + c}$

• m represents slope
• c represents the y-intercept

By comparing $\mathbf{y =mx + c}$ and $\mathbf{w(x) = 20 - 10x}$, we can conclude that:

$\mathbf{w(x) = 20 - 10x}$ is a linear equation

The slope of a function is the average rate of a function.

The slope of $\mathbf{w(x) = 20 - 10x}$ is 10

This means that, the aquarium is being drained at a rate of 10 liters per second.

So, we can conclude that, the following statement is also true.

The slope represents how fast the water is being drained.​

Lastly, when x = 0, we have:

$\mathbf{w(0) = 20 - 10(0) = 20}$

This represents the initial volume of the aquarium.

So, we can conclude that, the following statement is also true.

The y-intercept of 20 is the initial amount of water in the aquarium

Hence, the three statements are true.

Read more about linear functions at:

https://brainly.com/question/20286983