Y is directly proportional to x^2
If y = 8 when x = 2
find x when y = 32

4 or -4

Step-by-step explanation:

Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.

We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.

8=k(2)^2

8=k(4)

This implies k=2 since 2(4)=8.

So the equation for any pair (x,y) is y=2x^2.

We want to find x when y=32.

32=2x^2

32/2=2x^2/2

16=x^2

This implies x=4 or -4.

a and c

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.