A coke can and a monster can are each in the shape of a right circular cylinder. The cans have the same radius but the height of
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Question:
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 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 number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1.
2.
3. 660 boxes
Step-by-step explanation:
Given
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
Solving (b): Linear function
Since, we have the rate and the initial number of boxes.
The linear function is:
i.e.
Solving (c): Boxes at the end of the 8th hour
We have:
In this case:
Substitute 8 for h
<em>Hence, there are 660 boxes at the end of the 8th hour</em>