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The number of tribbles on the Starship Enterprise are tripling every hour. Initially, five tribbles were brought on board.1A (10 points) Write an equation to model this scenario? Define the variables being used?1C (10 points) How many more tribbles would there be 16 hours later?1B (10 points) At the given rate, how many tribbles will be on the
ship after 8 hours.Show work.

Respuesta :

Using an exponential function, it is found that:

  • The equation is: [tex]y = 5(3)^x[/tex].
  • After 16 hours, there would be 215,233,605 tribbles.
  • After 8 hours, there would be 32,805 tribbles.

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.

In this problem:

  • The number triples every hour, hence b = 3.
  • Initially, five tribbles were brought on board, hence a = 5.

Thus, the equation is: [tex]y = 5(3)^x[/tex]

16 hours later, the amount is:

[tex]y = 5(3)^{16} = 215233605[/tex]

After 16 hours, there would be 215,233,605 tribbles.

8 hours later, the amount is:

[tex]y = 5(3)^{8} = 32805[/tex]

After 8 hours, there would be 32,805 tribbles.

More can be learned about exponential functions at https://brainly.com/question/25537936

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