Jake is making birdhouses to sell. The cost to make them is $80 for supplies plus $6.25 per birdhouse. He will sell them for $16 each. What is the minimum # of birdhouses he must sell to make a profit.
I got he must sell more than 8
I did it by setting up
80+6.25x<16x
-6.25 from each side
80<9.75x
80/9.75<9.75x/9.75
8<x
I think this is correct I just want someone to double check my answer.
Thank you
you are correct,
I would answer it as x > 8
Looks good!
To find the minimum number of birdhouses Jake must sell to make a profit, we can follow your approach to solving the inequality:
1. Set up the inequality: The cost to make the birdhouses is $80 for supplies plus $6.25 per birdhouse, and he will sell them for $16 each. So, the profit equation is given by:
Profit = Revenue - Cost
Profit = 16x - (80 + 6.25x)
Profit = 16x - 80 - 6.25x
Profit = 9.75x - 80
2. Determine the profit condition: A profit is made when the profit is greater than zero (Profit > 0).
9.75x - 80 > 0
3. Solve the inequality for x:
Add 80 to both sides:
9.75x > 80
Divide both sides by 9.75:
x > 80/9.75
x > 8.2051 (rounded)
Therefore, Jake must sell more than 8 birdhouses to make a profit. Your answer of x > 8 is correct.