Question

Write an inequality:
Chris built bird houses to sell at the craft fair for $8.00 each. He had to spend $40 for materials. Which inequality represents the number of bird houses he must sell to make more than $200?

Answer 1

Let x represent the number of bird houses he needs to sell.

The total profit Chris makes is given by:
Profit = Revenue - Cost
Profit = $8.00*x - $40

To make more than $200, the profit should be greater than $200:
$8.00*x - $40 > $200

$x > \frac{240}{8} + 5$

$x > 30 + 5$

$x > 35$

Therefore, the inequality representing the number of bird houses Chris must sell to make more than $200 is x > 35.