What is an equation of the line that passes through the points (-1, 1) and (-2,-4)?
2 answers:
You might be interested in
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>
Answer:
Explanation:
Firstly, we have to calculate the rate at which the hose works
We can get that by dividing the volume of the first aquarium by the time taken to fill it
The volume of the first aquarium can be calculated using the formula:
Where:
L is the length of the aquarium
B is its width
H is its height
The volume of the first aquarium is thus:
We have the filling rate as:
Now, let us get the volume of the second aquarium
We use the same formula as the first
We have the volume as:
Now, to get the time taken, we divide the volume of the second aquarium by the rate of the first
Mathematically, we have that as: