high school class is putting together a newsletter. The cost of design and colour copies is $200 plus $0.75 per copy. The class plans to sell the newsletter for $1.25. Determine the number of newsletters made to break even.
To break even, the revenue from selling the newsletters must equal the cost of designing and printing them.
Let x be the number of newsletters made.
The cost of designing and printing x newsletters is given by the equation:
Cost = $200 + $0.75x
The revenue from selling x newsletters is given by the equation:
Revenue = $1.25x
To break even, the cost must equal the revenue:
$200 + $0.75x = $1.25x
Subtract $0.75x from both sides:
$200 = $0.50x
Divide both sides by $0.50:
$200 / $0.50 = x
x = 400
Therefore, the class needs to make 400 newsletters to break even.