Question 1111108: Jodi paid $12 for a food handlers license. Now she works at a food stand for $6 per hour. We want to consider her profit and how many hours she works. Give the equation, the x and y intercept.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! she paid 12 dollars for the license.
she makes 6 dollars an your.
let x equal the number of hours she works.
her revenue equation is 6 * x.
her cost equation is 12.
her profit equation is revenue minus cost.
her profit equation becomes 6 * x - 12.
if you let y equal her profit, then the equation becomes y = 6x - 12.
the y-intercept would be the value of y when x is equal to 0.
you get y-intercept = -12.
her x intercept would be the value of x when y is equal to 0.
that would be x = 2.
the y-intercept, in this case, represents her profit after she has worked 0 hours.
the profit is -12, which means it is a loss of 12 dollars.
since she just paid for the license and hasn't worked any hours yet, this makes sense because she's out 12 dollars and hasn't gotten anything back for it yet.
the x-intercept, in this case, represents when she breaks even.
a profit of 0 dollars occurs after she has worked 2 hours.
this is not a profit, nor is it a loss.
it only gets better after that.
for every additional hour she works after 2, she gets another 6 dollars in profit, assuming there are no other costs involved.
this is what the graph of her profit equation would look like.
you can see from the graph that, when she works 0 hours, her profit is -12 dollars, and when she works 2 hours, her profit is 0 dollars, and when she works 4 hours, her profit is 12 dollars.
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