Respuesta :

Answer:

The function is f(x) = 50 - 0.5x

We insert 0 as the time is less than 1

0 = 50- 0.5x

0.5x =50

x=100

Step-by-step explanation:

The volume of a container is the amount of liquid the container can contain. The key features and their interpretation are:

  • 500ft^3:- This represents the volume of the container
  • 0.5ft^3/min:- This represents the rate at which Chiang fills the container
  • 100mins: This represents the time taken to completely fill the bucket.

Given that:

[tex]Volume = 50ft^3[/tex]

[tex]Rate = 0.5ft^3/min[/tex]

The rate is calculated as:

[tex]Rate = \frac{Volume}{Time}[/tex]

So, we have:

[tex]0.5ft^3/min = \frac{50ft^3}{Time}[/tex]

Make time the subject

[tex]Time = \frac{50ft^3}{0.5ft^3/min}[/tex]

[tex]Time = \frac{50ft^3}{0.5ft^3}min[/tex]

[tex]Time = \frac{50}{0.5}min[/tex]

[tex]Time = 100min[/tex]

So, the interpretation is as follows:

  • 500ft^3:- This represents the volume of the container
  • 0.5ft^3/min:- This represents the rate at which Chiang fills the container
  • 100mins: This represents the time taken to completely fill the bucket.

Read more about volumes and rates at:

https://brainly.com/question/17446945