Question

The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50 for 30 employees, how much does a company picnic cost for 80 employees? ANSWER ASAP PLEASEEE

Answer 1

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,

$cost \propto \text{ number of employees attending picnic }$

$c \propto n\\\\c = kn$

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

$487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25$

How much does a company picnic cost for 80 employees?

Substitute n = 80 and k = 16.25 in eqn 1

$c = 16.25(80) = 1300$

Thus $ 1300 is the cost for 80 employees