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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

Solve the problem 3x^2_2x+4=0
Ayoman Reply
can anyone recommend an app or. website to help me refresh my knowledge and abilities? I stopped learning more about calc and trig in the 90's
scott Reply
if 6x=-2 find value of 6/x
issaya Reply
l don't know
Aman
I don't know
Aman
l don't know
Aman
I don't know
Aman
x=.333333333334, so 6/x= 18±
scott
x=.33333333334± 6/x=18±
scott
that is strange, I don't remember inserting the À. the result I got was x= 3333333334± 6/x=18±
scott
I need glasses
scott
X=(-1÷3) X equals minus one third
Melvin
if sin15°=√p, express the following in terms of p
Norman Reply
I am learning and does someone have the time to tell me what or where this particular equation would be used?
scott
prove sin²x+cos²x=3+cos4x
Kiddy Reply
the difference between two signed numbers is -8.if the minued is 5,what is the subtrahend
jeramie Reply
the difference between two signed numbers is -8.if the minuend is 5.what is the subtrahend
jeramie
what are odd numbers
micheal Reply
numbers that leave a remainder when divided by 2
Thorben
1,3,5,7,... 99,...867
Thorben
7%2=1, 679%2=1, 866245%2=1
Thorben
the third and the seventh terms of a G.P are 81 and 16, find the first and fifth terms.
Suleiman Reply
if a=3, b =4 and c=5 find the six trigonometric value sin
Martin Reply
ask
Ans
pls how do I factorize x⁴+x³-7x²-x+6=0
Gift Reply
in a function the input value is called
Rimsha Reply
how do I test for values on the number line
Modesta Reply
if a=4 b=4 then a+b=
Rimsha Reply
a+b+2ab
Kin
commulative principle
DIOSDADO
a+b= 4+4=8
Mimi
If a=4 and b=4 then we add the value of a and b i.e a+b=4+4=8.
Tariq
what are examples of natural number
sani Reply
an equation for the line that goes through the point (-1,12) and has a slope of 2,3
Katheryn Reply
3y=-9x+25
Ishaq
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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