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y varies directly as x and when x = 6 ,   y = 12.

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y varies directly as the square of x and when x = 4 ,   y = 80 . 

y = 5 x 2

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y varies directly as the square root of x and when x = 36 ,   y = 24.

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y varies directly as the cube of x and when x = 36 , y = 24.

y = 10 x 3

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y varies directly as the cube root of x and when x = 27 ,   y = 15.

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y varies directly as the fourth power of x and when x = 1 ,   y = 6.

y = 6 x 4

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y varies inversely as x and when x = 4 ,   y = 2.

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y varies inversely as the square of x and when x = 3 ,   y = 2.

y = 18 x 2

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y varies inversely as the cube of x and when x = 2 ,   y = 5.

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y varies inversely as the fourth power of x and when x = 3 ,   y = 1.

y = 81 x 4

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y varies inversely as the square root of x and when x = 25 ,   y = 3.

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y varies inversely as the cube root of x and when x = 64 ,   y = 5.

y = 20 x 3

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y varies jointly with x and z and when x = 2 and z = 3 ,   y = 36.

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y varies jointly as x ,   z , and w and when x = 1 ,   z = 2 ,   w = 5 , then y = 100.

y = 10 x z w

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y varies jointly as the square of x and the square of z and when x = 3 and z = 4 , then y = 72.

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y varies jointly as x and the square root of z and when x = 2 and z = 25 , then y = 100.

y = 10 x z

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y varies jointly as the square of x the cube of z and the square root of W . When x = 1 , z = 2 , and w = 36 , then y = 48.

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y varies jointly as x   and   z and inversely as w . When x = 3 ,   z = 5 , and w = 6 , then y = 10.

y = 4 x z w

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y varies jointly as the square of x and the square root of z and inversely as the cube of w .  When x = 3 , z = 4 , and w = 3 , then y = 6.

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y varies jointly as x and z and inversely as the square root of w and the square of t  . When x = 3 , z = 1 , w = 25 , and t = 2 , then y = 6.

y = 40 x z w t 2

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Numeric

For the following exercises, use the given information to find the unknown value.

y varies directly as x . When x = 3 , then y = 12. Find y wneh x = 20.

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y varies directly as the square of x . When x = 2 , then y = 16. Find y when x = 8.

y = 256

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y varies directly as the cube of x . When x = 3 , then y = 5.   Find y when x = 4.

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y varies directly as the square root of x . When x = 16 , then y = 4. Find y when x = 36.

y = 6

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y varies directly as the cube root of x . When x = 125 , then y = 15. Find y when x = 1,000.

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y varies inversely with x . When x = 3 , then y = 2. Find y when x = 1.

y = 6

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y varies inversely with the square of x . When x = 4 , then y = 3. Find y when x = 2.

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y varies inversely with the cube of x . When x = 3 , then y = 1. Find y when x = 1.

y = 27

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y varies inversely with the square root of x . When x = 64 , then y = 12. Find y when x = 36.

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y varies inversely with the cube root of x . When x = 27 , then y = 5. Find y when x = 125.

y = 3

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y varies jointly as x   and   z . When x = 4 and z = 2 , then y = 16. Find y when x = 3 and z = 3.

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y varies jointly as x ,   z ,   and   w . When x = 2 , z = 1 , and w = 12 , then y = 72. Find y when x = 1 , z = 2 , and w = 3.

y = 18

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y varies jointly as x and the square of z. When x = 2 and z = 4 , then y = 144. Find y when x = 4 and z = 5.

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y varies jointly as the square of x and the square root of z . When x = 2 and z = 9 , then y = 24. Find y when x = 3 and z = 25.

y = 90

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y varies jointly as x and z and inversely as w . When x = 5 , z = 2 ,   and   w = 20 , then y = 4. Find y when x = 3 and z = 8 ,   and   w = 48.

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y varies jointly as the square of x and the cube of z and inversely as the square root of w .  When x = 2 , z = 2 , and w = 64 , then y = 12. Find y when x = 1 , z = 3 , and   w = 4.

y = 81 2

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Questions & Answers

the gradient function of a curve is 2x+4 and the curve passes through point (1,4) find the equation of the curve
Kc Reply
1+cos²A/cos²A=2cosec²A-1
Ramesh Reply
test for convergence the series 1+x/2+2!/9x3
success Reply
a man walks up 200 meters along a straight road whose inclination is 30 degree.How high above the starting level is he?
Lhorren Reply
100 meters
Kuldeep
Find that number sum and product of all the divisors of 360
jancy Reply
answer
Ajith
exponential series
Naveen
what is subgroup
Purshotam Reply
Prove that: (2cos&+1)(2cos&-1)(2cos2&-1)=2cos4&+1
Macmillan Reply
e power cos hyperbolic (x+iy)
Vinay Reply
10y
Michael
tan hyperbolic inverse (x+iy)=alpha +i bita
Payal Reply
prove that cos(π/6-a)*cos(π/3+b)-sin(π/6-a)*sin(π/3+b)=sin(a-b)
Tejas Reply
why {2kπ} union {kπ}={kπ}?
Huy Reply
why is {2kπ} union {kπ}={kπ}? when k belong to integer
Huy
if 9 sin theta + 40 cos theta = 41,prove that:41 cos theta = 41
Trilochan Reply
what is complex numbers
Ayushi Reply
Please you teach
Dua
Yes
ahmed
Thank you
Dua
give me treganamentry question
Anshuman Reply
Solve 2cos x + 3sin x = 0.5
shobana Reply
Practice Key Terms 7

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Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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