A farmer uses pesticides to keep harmful bugs away from his crops. The amount of pesticide used is an inverse variation of the percentage of bugs remaining on the crops. If he uses 5 gallons of pesticide per acre, 5% of the bugs remain. Which equation describes this relationship? (Let p denote the percentage of bugs and g denote the number of gallons used in the equations below.)

Question

anonymous · Answer

i think it is p=1/4g

anonymous · Answer

@Owlcoffee @MrNebula @kdeterline

anonymous · Answer

or if you cant help with that one can you help with this one? If y varies inversely with x and y = 3 when x = 4, what is the value of y when x = 2?

anonymous · Answer

and the answer choices are
A.
y=1/6
B.
y = 2
C.
y = 6
D.
y = 12

mrnebula · Answer

Im on it!

mrnebula · Answer

Your think your right on the first one

anonymous · Answer

ya I'm pretty sure i have the first one right

mrnebula · Answer

For the second one...

mrnebula · Answer

I think your right on the first one* sorry I had Your two times there xD

owlcoffee · Answer

So, let's try the equation you came up with (p=1/4g)
Replacing with the initial p=5 and g=5
$$p=\frac{ 1 }{ 4 }g$$
$$5=\frac{ 1 }{ 4 }(5) \rightarrow 5\neq \frac{ 5 }{ 4 }$$

anonymous · Answer

haha its okay and thats not one of the answer choices for the first one

mrnebula · Answer

Owl has it down better

anonymous · Answer

I just really need help on the second one

anonymous · Answer

nevermind i figured it out. The second one is 6 and the first one is  p=1/4g

anonymous · Answer

Thanks for your help tho cx

mrnebula · Answer

Here is a example this can help you to learn how to solve other problems like this.

If x varies inversely as y and x=12 when y=3, what is the value of x when y=9?

y=k/(x) where k is some constant 

3=k/12 

36=k 

When y=9: 

9=36/x 

x=4

mrnebula · Answer

Hope this will help!