Topic Content:
- Partial Variation (Meaning, Examples)
What is Partial Variation?
Partial variation exists when a quantity is partly constant and partly varies with another quantity.
For example, when a tailor makes a dress, the total cost depends on two things; first the cost of the material (which is partly constant); secondly the amount of time taken to make the dress (partly varies). This is an example of partial variation i.e.
\( \scriptsize C = a \: + \: kt \)
Where C is the cost and t is time taken, while “a” and “k” are constants.
Example 5.4.1:
The cost of car service is partly constant and partly varies with the time it takes to do the work. It costs ₦3,500 for a \(\scriptsize 5 \normalsize \frac{1}{2} \! \!\) hours service and ₦2,900 for a 4 hours service.
(a) Find the formula connecting cost, ₦C with time T hours.
(b) Hence find the cost of a \(\scriptsize 7 \normalsize \frac{1}{2} \! \!\) hours service.
Solution
(a) C = P + Kt
You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!
Click on the button "Subscribe Now" below for Full Access!
Subscribe Now
Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!
Responses