Question

The number of fish (f) in a fish tank increases when the number of algae blooms (a) decreases. Write the correct equation for this scenario, and solve for the number of fish when there are 4 algae blooms. Algae Blooms Fish 10 10 25 4

Answer 1

• f = -2/5a +14
• 12.4 ≈ 12 fish for 4 algae blooms

Explanation:

The 2-point form of the equation for a line is useful when you are given two points to work with:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...

f = (4 -10)/(25 -10)(a -10) +10

f = -6/15(a -10) +10

f = -2/5a +14 . . . an equation for the scenario

Four a=4, the fish population is predicted to be ...

f = -2/5(4) +14 = 12.4

There will be about 12 fish when there are 4 algae blooms.