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
a) f = 1a; f = 4

b) f = .1a; f = .4

c) f = 100 over a; f = 25

d) f = 100 over a; f = 400

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
a) f = 1a; f = 4

b) f = .1a; f = .4

c) f = 100 over a; f = 25

d) f = 100 over a; f = 400

anonymous · Answer

Your best bet is to substitute what you have into the chart to see if it works correctly with the equations.

campbell_st · Answer

well it seems like inverse variation

$$f = \frac{k}{a}$$

so substitute f 10 and a = 10

then solve for k. the variation constant. 

when you find k, substitute b = 4 to find the number of fish

campbell_st · Answer

oops substitute a = 4 to find the number of fish

anonymous · Answer

@campbell_st yeah i was like WAIT WHERE DID THE B COME FROM haha

anonymous · Answer

so it would be A

campbell_st · Answer

well what valeu did you get for k...?

anonymous · Answer

4

anonymous · Answer

C seems to be the most reasonable one tbh. Cause 10 = 100/10 is correct and 4 = 100/25 is also correct

anonymous · Answer

im stupid

campbell_st · Answer

no... look at the equation again 

$$10 = \frac{k}{10}$$

solve for k

anonymous · Answer

...100?

anonymous · Answer

dude 1

anonymous · Answer

its 1 isnt it

campbell_st · Answer

thats correct so the equation you will use is 

$$fish = \frac{100}{a}$$

now substitute a = 4 to find  the number of fish

anonymous · Answer

is a still 10 or is that gone now ?

anonymous · Answer

no 4

anonymous · Answer

25

campbell_st · Answer

no... you need to confirm the number of fish increases as the blooms decrease... 

to the other information you have been given is that

the fish = 25 when the blooms = 4

so using the equation 

$$f = \frac{100}{a}$$

substitute a = 4 and confirm f = 25

anonymous · Answer

but how is that confirmed ?

campbell_st · Answer

if  you confirm its correct.... then find the equation in your answer choices and the fact that f = 25

anonymous · Answer

By solving the equation with a being 4

anonymous · Answer

ah so it is C ! like dariel said

campbell_st · Answer

substitution is the process of replacing a letter by a number

so using a = 4

and substituting into 

$$f = \frac{100}{a}$$

you will be able to calculate f

$$f = \frac{100}{4}$$

so what is f... if you do the calculation above...?

anonymous · Answer

Both our methods works, just mine is not always as reliable :3

anonymous · Answer

both fantastic helpers thanks ! ^.^

anonymous · Answer

no problem