SOLUTION: Suppose that y varies inversely with x. When x = 10​, then y = 9. Find y when x = 5. ​(a) Find the constant of proportionality k. ​(b) Write the function rel

Algebra.Com
Question 1074958: Suppose that y varies inversely with x. When x = 10​, then y = 9. Find y when x = 5.
​(a) Find the constant of proportionality k.
​(b) Write the function relating the variables.
​(c) Find the indicated quantity.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
y=k/x
9=k/10
k=90
y=90/5
=18.

RELATED QUESTIONS

Suppose that y is inversely proportional to x and that y equals seven ninths when x=81.... (answered by josgarithmetic)
y varies inversely as x. If y = 40 when x = 5​, find y when x =... (answered by MathLover1)
Find the constant of variation. Then write an equation for each statement. 1. y... (answered by TimothyLamb)
Find the variation constant​ (constant of​ proportionality) and an equation... (answered by josgarithmetic)
Suppose z varies directly with x and inversely with the square of y. When x= 5 and y= 9,... (answered by Alan3354)
Suppose z varies directly with x and inversely with the square of y. When x=5 and Y= 9,z= (answered by stanbon)
If y varies inversely with the square of x and y=9 when x=2, find y when... (answered by MathLover1)
If y varies inversely as​ x, find the constant of variation k and the inverse... (answered by stanbon)
Suppose y varies inversely with x. If y = 5 when x = 4, find y when x = 8. (answered by mananth)