In the system of equations below, y represents the income from selling and the cost to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?

h=35x
y=-0.05(x-400)^2+9,492

Question

In the system of equations below, y represents the income from selling and the cost to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?

h=35x
y=-0.05(x-400)^2+9,492

welshfella · Answer

you have 2 equations and 3 variables h,x and y 
Is there a typo here?

welshfella · Answer

i guess  h should be y?

howens5601 · Answer

Yes sir, sorry about that.

welshfella · Answer

OK 
since the 2 expressions in x both equal y  we could find x by solving  
3x = -0.05(x - 400)^2 + 9.492

The value of x would represent the number of sweatshirts need to be sold to break even.

welshfella · Answer

that is income would equal cost of buying.

howens5601 · Answer

So the two values would end up being equal? The Cost and Income?

welshfella · Answer

right   and x is the number of sweatshirts you need to sell  to attain that.

welshfella · Answer

- thats the answer to the question. x is the solution of the equations

howens5601 · Answer

Gotcha, I appreciate it.

welshfella · Answer

yw