Variations

The Joy of the Teacher is the Success of the Students. – Samuel Chukwuemeka

Welcome to Our Site

I greet you this day,

These are the solutions to the CSEC past questions on Variations.
If time permits and there is sufficient interest, video solutions may be provided. Please subscribe to the YouTube channel to be notified of upcoming livestreams. You are welcome to ask questions during the video livestreams.
If you find these resources valuable and helpful in your passing the Mathematics test of the CSEC, please consider making a donation:

Cash App: $ExamsSuccess or
cash.app/ExamsSuccess

PayPal: @ExamsSuccess or
PayPal.me/ExamsSuccess

Venmo: @ExamsSuccess or
Venmo.com/u/ExamsSuccess

Your donation is appreciated.
Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome.
Feel free to contact me. Please be positive in your message.
I wish you the best.
Thank you.

Formula Sheet: List of Formulae

(2.) Given that y is inversely proportional to (x − 2) and x = 11 when y = 9, find the value of y when x = 29.

$ y \alpha \dfrac{1}{x - 2} \quad\dots\text{Inverse Variation} \\[5ex] y = \dfrac{k}{x - 2} \quad\dots\text{where k is the constant of proportionality} \\[5ex] x = 11, \hspace{2em} y = 9, \hspace{2em}, k = ? \\[3ex] 9 = \dfrac{k}{11 - 2} \\[5ex] 9 = \dfrac{k}{9} \\[5ex] k = 9(9) \\[3ex] k = 81 \\[5ex] x = 29, \hspace{2em} k = 81, \hspace{2em}, y = ? \\[3ex] y = \dfrac{k}{x - 2} \\[5ex] y = \dfrac{81}{29 - 2} \\[5ex] y = \dfrac{81}{27} \\[5ex] y = 3 $

Top