Answer:
Step-by-step explanation:
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
So because you will have $2 no matter how many cups you sell the equation starts off as AA = 2
Next, you add the dependent variable, because 1 cup of cc = $0.50 you add 0.5cc to the equation (it can also be written as 1/2cc), to complete the equation.
AA = 1/2cc +2
First, put them directly above each other.
5a+2s=48
3a+2s=32
You need to combine these, but in order to do so, we want to get rid of one of the letters. The S's line up very well, and all we need to do is multiply the bottom equation by a negative 1. This will look like this,
-3a-2s=-32 (and add it to the other equation)
5a+2s=48
This gives you
2a=16
Divide both sides by 2 to get a by itself.
a=8, is your answer!
If it asked for s, you would put 8 into whichever equation seems easier for you, and then its just simple crunching it out.
Hope this helped!
