Answer:
L = f(J, K, F)
L = (JK²)/F
So, as the formula appears, the appropriate units will be option A.
Unit for number of laughs = (jokes*knowledge²) / familiarity
Just like the formula suggests.
Explanation:
Complete Question
The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: L = (JK²)/F
Select an appropriate unit for number of laughs:
A) (jokes*knowledge²) / familiarity
B) familiarity / (jokes*knowledge²)
C) familiarity² / (jokes*knowledge)
D) (jokes*knowledge) / familiarity²
Solution
L = f(J, K, F)
where
L = number of laughs
J = number of jokes
K = amount of knowledge about the joke material
F = familiarity with the jokes
Analysing how the dependent variable depends on each of the independent variables.
- Number of jokes
The number of laughs will increase with the number of jokes and vice versa. It can be stated that there is a direct variation between the number of laughs and number of jokes.
- Amount of knowledge about the joke material
The more one understands the joke material, the funnier the joke. In fact, the joke can be termed funnier when one understands the joke material deeply. The direct variation of number of laughs to knowledge about joke material isn't just enough, the number of laughs varying directly as the square of the knowledge of joke material seems more fitting.
- Familiarity with the joke
The more familiar one is with a joke, the less funny it is. Hence, it's an inverse relationship between number of laughs and the familiarity with the joke.
L = (JK²)/F
So, as the formula appears, the appropriate units will be
(jokes*knowledge²) / familiarity
Just like the formula suggests.
Hope this Helps!!!