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The number of fish (F) in a fish tank increases when the number of plants (P) increases. Write the correct equation for this scenario, and solve for the number of fish when the number of plants is 3.

15 plants = 6 fish
20 plants = 8 fish

1) F = P; F = 3
2) F = 90/P; F = 30
3) F = .4P; F = 1.2
4) F = 90/P; F = 270

Respuesta :

liloaqw

Answer:

Fx=Px

Plants=3

(Fish)x=(Plants)3

Step-by-step explanation:
I hope this helps

The proportional relationship for the number of fish when there are P plants is given by:

F = .4P;

Hence, when there are 3 plants, there are 1.2 fish, and option 3 is correct.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, when there are 15 plants there are 6 fish and when there are 20 plants there are 8 fish, hence the constant is:

[tex]k = \frac{6}{15} = \frac{8}{20} = 0.4[/tex]

Then, the equation is:

[tex]F = 0.4P[/tex]

When there are 3 plants:

[tex]F = 0.4(3) = 1.2[/tex]

There are 1.2 fish.

Hence option 3 is correct.

You can learn more about proportional relationships at https://brainly.com/question/10424180

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