Inverse with the square

Question

If d varies inversely with the square root of m and d=2 when m = 49 find d when m= 16

Answer 1

d varies inversely with the square root of m    means d = k/√m

 

 d=2 when m = 49    means 2 = k/√49, so 2 = k/7 thus k = 14.

 

find d when m= 16    tells you to substitute 16 for m, into the formula d = 14/√m.

Answer 2

Tamika,

 

d = k/√m, with d = 2 and m = 49 produces the equation

 

2 = k/√49 = k/7

 

Solving for k, you will get k = 14. Plugging back into the first equation, you have d = 14/√m .

 

Next, plug in m = 16 and solve for d:

 

d = 14/√16 = 14/4 = 7/2, 

 

when reduced to lowest terms.