Answer:
We have the next relation:
A = (b*d)/c
because we have direct variation with b and d, but inversely variation with c.
Now, if we have 3d instead of d, we have:
A' = (b*(3d))/c
now, we want A' = A. If b,c, and d are the same in both equations, we have that:
3bd/c = b*d/c
this will only be true if b or/and d are equal to 0.
If d remains unchanged, and we can play with the other two variables we have:
3b'd/c' = bd/c
3b'/c' = b/c
from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.
Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600
Ask google or maybe YouTube
Answer:
1st option
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use (3, 8 ) , that is x = 3 when y = 8 , then
8 = 
( multiply both sides by 3 )
24 = k
y = 
← equation of variation
