VARIATIONS LESSON 1

VARIATIONS PART 1

Multiple Choice

Based on the relation, 'p varies directly as the square of q' where k is a constant, which of these options is in equation form?

•  $p\propto q^2$  

•  $p\propto kq^2$  

•  $p=kq^2$  

•  $p=q^2$  

Multiple Choice

Intan's savings amount varies directly as the number of days she saves. State the change in the number of days Intan saves if her savings amount decreases by two times.

• The number of days she saves increases by two

• The number of days she saves decreases by two.

Multiple Choice

• yes

• no

Multiple Choice

 

• yes

• no

Multiple Choice

• yes

• no

Multiple Choice

Based on the given graph option, which one shows the relation where the variables varies directly.

Multiple Choice

 $It\ is\ given\ that\ m\propto n^{3\ }and\ m=108\ when\ n=6.\$  Which of the following expresses m in terms of n  correctly.  

•  $m=n^3$  

•  $m=2n^3$  

•  $m=\frac{n^3}{2}$  

•  $m=\frac{n^3}{3}$  

Multiple Select

It is given that y varies directly as the cube of x and y = 540 when x = 6. 

(a)  Find the value of x when y = 20. 

(b) Choose the correct equation where y is express in terms of x.

•  $y=2.5x^3$  

•  $y=0.4x^3$  

•  $x=50$  

•  $x\ =\ 2$  

Multiple Select

 $p\ varies\ directly\ as\ q^2\ and\ p=40.5\ when\ q=1.5.$  
(i) Choose the equation of p in terms of q.
(ii) Find the value of p when q = 0.6.

•  $p=\frac{1}{18}q^2$  

•  $p=18q^2$  

• p = 6.48

• p = 0.002