contestada

water will be both added to and drained from a bathtub at the same time for 5 minutes. the total amount of water added to the bathtub in litres will be modelled by the function f(t) = 5t, where t is the time in minutes. The total amount of water drained from the bathtub in litres will be modelled by the function g(t) = t2, where t is the time elapsed in minutes. How many litres of water will be in the bathtub after 4 minutes?

Respuesta :

musiclover10045
there would be 12 litres in the tub after 4 minutes

4 liters of water will be in the bathtub after 4 minutes

What is function?

  • "It defines a relation between input and output values."
  • "In function, for each input there is exactly one output."

For given question,

The total amount of water added to the bathtub in liters will be modelled by the function f(t) = 5t, where t is the time in minutes.

The total amount of water drained from the bathtub in liters will be modelled by the function [tex]g(t) = t^2[/tex], where t is the time elapsed in minutes.

So, the total amount of water in the bathtub in liters will be modelled by the function h(t), where t is the time elapsed in minutes.

The function h(t) would be,

⇒ h(t) =(amount of water added to the bathtub) - (amount of water

                                                                                drained from the bathtub)

⇒ h(t) = f(t) - g(t)

⇒ h(t) = 5t - t²

For t = 4 the function h(t) would be,

⇒ h(4) = 5(4) - (4)²

⇒ h(4) = 20 - 16

⇒ h(4) = 4 liters

Therefore, 4 liters of water will be in the bathtub after 4 minutes

Learn more about function here:

https://brainly.com/question/13461298

#SPJ3

Otras preguntas