Question

Provide an appropraite response.

If y varies inversly as the 4th power of x and y=3 when x=2, what is y when x=0.5?

If Q varies inversly as the sqaure root of R and Q=2 whe R=4, what is Q when R is 25?

Answer 1

1st one:

y = k(1/x^4)
when x=2, y=3

3 = k(1/16) ---> k = 48

equation: y = 48/x^4

when y = .5
.5 = 48/x^4
x^4 = 96
y = 96^(1/4) = 2(6^(1/4) or appr. 3.13

you try the second one, using the same method
Start with
Q = k/√R

Answer 2

is the second one R=625?