SOLUTION: I need to figure the following out. I have tried it but I get confused, I can't seem to get anywhere with it
x varies directly as the square of s and inversely as t. How does
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Question 7839: I need to figure the following out. I have tried it but I get confused, I can't seem to get anywhere with it
x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can write the relationship between x and s & t as follows:
k is known as the constant of proportionality.
If you want to see the effect on x when s is doubled, just replace s with 2s.
= = which is 4 times the original equation for x. So x is quadrupled when s is doubled.
Now let's double both s and t by substituting 2s and 2t into the original equation.
= = = and here, you can see that the effect on x is to double it when you double both s and t.
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