Juan is making birdhouses to sell at a craft show. the cost of making the birdhouses is $80 plus $6.25 per birdhouse. he will sell them for $16 each. write and solve an inequality to find the number of birdhouses he must sell to make a profit.

This equation is written with the number of of birdhouses = x

The cost of making the birdhouses is $80 plus $6.25 per birdhouse

80 + 6.25x

He will sell each bird house for $16 each

16x

The profit (16x) should be greater than (>) the cost (80 + 6.25x)

16x > 80 + 6.25x

16x - 6.25x > 80

9.75x > 80

x >8.205 ...

We can therefore establish that the answer will be around 9