Respuesta :

Answer:

Domain:

The domain of this can be any value between 0 to 565 miles per hour

Range:

The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).

Step-by-step explanation:

Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.

We can say that the domain will be the speed of the airplane and the range would be the distance it travels.

Domain:

The domain of this can be any value between 0 to 565 miles per hour

Range:

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

The domain and the range of a function are the possible input and the output values of the function.

  • The domain is: [tex]\mathbf{[0,24]}[/tex]
  • The range is: [tex]\mathbf{[0,13560]}[/tex]

If the airplane travels 565 mph, then the linear equation that models the distance traveled is:

[tex]\mathbf{y = 565x}[/tex]

Time cannot be less than 0, and airplane do not travel more than 24 hours.

So, the domain is: [tex]\mathbf{[0,24]}[/tex]

When x  = 0

[tex]\mathbf{y = 565 \times 0 = 0}[/tex]

When x = 34

[tex]\mathbf{y = 565 \times 24 = 13560}[/tex]

So, the range is: [tex]\mathbf{[0,13560]}[/tex]

Read more about range and domain at:

https://brainly.com/question/1632425