Question 1172285: A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 four boxes in stock. How many boxes were in stock when they opened? Write a linear model for the amount of boxes, b, as a function of the numbers of hours since they opened, h, and use your model to predict the number boxes in stock at the end of an 8 hour shift
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! they produce boxes at a rate of 52 boxes per hour.
3 hours after they opened, then have 400 boxes in stock.
3 * 52 = 156 boxes that they made.
they must have had 400 - 156 = 244 boxes in stock when they opened.
your equation will be:
b = 244 + 52 * h
b is the number of boxes they have in stock.
h is the number of hours since they opened.
when h = 3, the equation becomes:
b = 244 + 52 * 3 = 400
after 3 hours they have 400 boxes in stock.
when h = 8, the equation becomes:
b = 244 + 52 * 8 = 660.
after 8 hours, they have 660 boxes in stock.
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