Question 1182903
If y is directly proportional to the 3/2 power of x and inversely proportional to w,
{{{y = (kx^(3/2))/w}}} that's ^(3/2)

y is 290 when x is 861 and w is 352, evaluate the constant of proportionality,
{{{(k*861^(3/2))/352}}} = 290
Multiply both sides by 352, find 861 to the 3/2 power
{{{25264.152k = 102080}}}
{{{k = 102080/25264.252}}}
k = 4.04
:
Write the complete equation for y in terms of x and w. Give your answer in the form y=k*(x^a)*(w^b) with no spaces where a, b and k are real numbers. Round the coefficient k to 2 decimal places.
{{{y = (4.04*x^(3/2))/w}}}
which is
{{{y = 4.04*x^(3/2)*w^-1}}}