The company picnic cost $ 1300 for 80 employees
Solution:
Given that cost of a company picnic varies directly as the number of employees attending the picnic
Let "c" be the company picnic cost
Let "n" be the number of employees attending the picnic
Therefore,
[tex]cost \propto \text{ number of employees attending picnic }[/tex]
[tex]c \propto n\\\\c = kn[/tex]
Where "k" is the constant of proportionality
c = kn ---------- eqn 1
Given that company picnic costs $487.50 for 30 employees
Therefore substitute c = 487.50 and n = 30
[tex]487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25[/tex]
How much does a company picnic cost for 80 employees?
Substitute n = 80 and k = 16.25 in eqn 1
[tex]c = 16.25(80) = 1300[/tex]
Thus $ 1300 is the cost for 80 employees
