CHILD DEVELOPMENT PEDAGOGY

GROWTH DEVELOPMENT CHILD

SUMMATIVE ASSESSMENT

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
y varies inversely as x such that when x=12, y=9. Find y when x=27.
A
3
B
4
C
9
D
18
Explanation: 

Detailed explanation-1: -First we have the equation 9=k/12. Then we solve for k which is the constant of the variation and that is 108. Next, we solve for y by using the equation y=108/27. Hence, the value for y is 4.

Detailed explanation-2: -When y varies inversely as x, y=kx, where k is some constant. By substituting y=−4 and x=16 we find that −4=k16 . Multiplying both sides by 16 gives k=−64 . Therefore, the answer is y=−64x .

Detailed explanation-3: -What is the inverse variation formula? The inverse variation is represented by x = k/y or xy = k.

Detailed explanation-4: -The main idea in inverse variation is that as one variable increases the other variable decreases, which means that if x is increasing y is decreasing, and if x is decreasing y is increasing.

There is 1 question to complete.