SOLUTION: Dear Sir/Madam, I am confronted with the following problem: "T varies directly as the cube of a and inversely as the square root of d. If T = 4 when a = 2 and d = 9, find T w

Question 6483: Dear Sir/Madam,
I am confronted with the following problem:
"T varies directly as the cube of a and inversely as the square root of d. If T = 4 when a = 2 and d = 9, find T when a = -1 and d = 4."
I really don't know how to approach this question. Can you help me?
Best regards,
-Mike
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
in terms of maths we have T or converting to an equation,

where k is the constant of proportionality.

So, now we need to find the value of k. For this we need to know T, a and d --> which we do from the question. So put the values into the equation to find k:

--> k =

so the equation is now:

And now we have it, we can do the final part: "find T when a=-1 and d=4"

jon.

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