# math

Suppose that x and y vary inversely and that y=1/6 when x = 3. Write a function that models the inverse variation and find y when x = 10.

1. 👍
2. 👎
3. 👁
1. y = C/x
Solve for C with the given information.

1/6 = C/3
C = 1/2
y = 1/(2x)
If x = 10, y = 1/20

1. 👍
2. 👎

## Similar Questions

1. ### Algebra2

suppose c and d vary inversely and d=2 when c=17 write an equation that models that variation find d when c=68

2. ### variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

3. ### Math

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 100 workers 6 weeks to build 4 miles of highway. How

4. ### Algebra 1

1. For the data in the table does y vary directly with x? If it does write an equation for the direct variation. x|y 8|28 16|56 20|70 a. yes;y=5x b. yes;y=x+20 c. yes;y=3.5x** d. no; y doesn't vary directly with x 2. For the data

1. ### Alg 2 HELP!!

1.) Find an exponential function of the form y=ab^x whose graph passes through the points (2,48) and (5,3072) 2.) The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when

2. ### Math

Write an equation to describe the variation. Use k for the constant of proportionality. x varies directly as the square of y and inversely as z

3. ### math

The variables x and y vary inversely. When y is 24, x is 8. What is y when x is 4?

4. ### maths

if x and y vary inversely and x=18 when y=8,find x when y=16

1. ### Inverse Variation

Help me please.. Explain also :( 1. E is inversely proportional to Z and Z = 4 when E = 6. 2. P varies inversely as Q and Q = 2/3 when P = 1/2. 3.R is inversely proportional to the square of I and I = 25 when R = 100. 4. F varies

2. ### algebra

1.) suppose y varies directly as x.if x=24 when y=8 then what is the constant of variation? 2.) suppose y varies inversely as x if x=4 when y=8 then what is the constant of variation?

3. ### math

Suppose f varies inversely with g and that f=20 when g=4. What is the value of f when g=10?

4. ### algebra

I do not know where to start with this one. Suppose p varies directly as the square of z and inversely as r. If p = 32/5 when z = 4 and r = 10, find p when z = 3 and r = 36.