Question

An online company sells handmade samurai katana swords. The website costs $ 475 a month to maintain. Each katana costs $ 200 to make, and they sell each katana for $ 755. Create a linear model in the form y = m x + b where x is the number of swords sold per month and y is the net monthly profit. Using this model, find the number of swords that would need to be sold per month to have a monthly profit of $ 4370.

Answer 1

y=0-485 (the amount made selling 0 swords)+755-200 (the amount made per sword)x
y=-475+555x
Then...
having a profit of $4370
4370=-475+555x
4845/555=9
9=x
9 swords need to be sold to make a profit of $4370.