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​Proportion: Quiz 7
You may use a calculator for the following questions.
 
1) a is directly proportional to the square of b. When a is 50, b is 5. a and b are always positive.
a) Form an equation for a in terms of b.
b) Find the value of a when b is 3.
c) Find the value of a when b is 8.
d) Find the value of b when a is 72.
e) Find the value of b when a is 200.
 
2)
When c is 54, d is 3. c and d are always positive.
a) Form an equation for c in terms of d.
b) Find the value of c when d is 10.
c) Find the value of d when c is 294.
d) Find the value of c when d is ½.
e) Find the value of d when c is 1176.
 
3) e is directly proportional to the cube of f. When e is 48, f is 2.
a) Find the value of f when e is 162.
b) Find the value of f when e is 750.
c) Find the value of e when f is 9.
d) Find the value of e when f is 1.
 
4)
​When g is 196, h is 3. g and h are always positive.
a) Form an equation for g in terms of h.
b) Find the value of g when h is 6.
c) Find the value of h when g is 441
d) Find the value of g when h is 4.
 
5) i is inversely proportional to the square of j. When i is 81, j is 16. i and j are always positive.
a) Form an equation for i in terms of j.
b) Find the value of i when j is 4.
c) Find the value of i when j is 9.
d) Find the value of j when i is 576.
e) Find the value of j when i is 324.
 
6) m is inversely proportional to the cube of n. When m is 125, n is 2.
a) Find the value of n when m is 8.
b) Find the value of m when n is 4.
c) Find the value of m when n is 10.
 
7) p is directly proportional to the square root of q. When p is 10, q is 4.
a) Form an equation for p in terms of q.
b) Find the value of p when q is 100?
c) Find the value of q when p is 35?
d) Find the value of q when p is 60?
 
8) y is inversely proportional to the square root of x. When y is 27, x is 16.
a) Find the value of y when x is 64.
b) Find the value of x when y is 36.
c) Find the value of y when x is 81.
d) Find the value of x when y is 18.