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.

Question

anonymous · Answer

its question 3

mathstudent55 · Answer

Use the given information as two given points on a line and find its equation. Then find F when P = 3.
The points are: (P, F): (15, 6) and (20, 8)

anonymous · Answer

yea but how do you do tha? @mathstudent55

mathstudent55 · Answer

The equation of a line that passes through two given points, $(x_1, ~y_1) $ and $(x_2, ~y_2)$ is

$y - y_1 = \dfrac{y_2 - y_1}{x_2 -x_1}(x  - x_1) $

This equation is called the two-point form of the equation of a line.

You have two points. Call one point $(x_1, ~y_1)$, and the other point $(x_2,~y_2)$, and find the equation of the line using the equation above.
After you have the equation, replace x with P and y with F.

Then calculate F for P = 3.

anonymous · Answer

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