At a local high school, enrollment in the drama club increases by 5% each year. what is the common ratio in this situation? 0.05
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Given that the quantity demanded for a certain brand of portable CD players is 200 units when the unit price is set at $90.
If we set quantity=y and price=x then in point form, we can write above information as (90,200)
Similarly "The quantity demanded for 1,200 units when the unit price is set at $40. " can be written as (40,1200)
Now we can plug both points into two point formula to find the required equation:
plug those points
y-1200=-20(x-40)
y-1200=-20x+800
y=-20x+2000
Hence demand equation is y=-20x+2000
Question 1:
(attached is a graph of the data)
The graph seems to show a negative trend. Each value is usually less than the value before it.
People may only want to see the first game and decide to not show up to any others. Or maybe, as more games occurred, the weather was colder and people didn't want to go out in the cold.
Question 2:
- St John's | 174000 | 173000
- Sudbury | 165000 | 155000
- Saint John | 126000 | 123000
- Chicoutimi | 160000 | 155000
- Thun. bay | 127000 | 122000
- Regina | 194000 | 193000
- Trois-Riv. | 140000 | 138000
(attached is a graph of the data)
I chose this graph type to demonstrate each city, as well as the change in population over time.
I notice that, for each city, the population decreased slightly from 1996 to 2001.
The graph shows the trend because the pink bar (2001) is lower than the orange bar (1996).
Predicting values for 2006:
- St John's | 172000
- Sudbury | 145000
- Saint John | 120000
- Chicoutimi | 150000
- Thun. bay | 117000
- Regina | 192000
- Trois-Riv. | 136000
To find these values, I found the difference from 1996 to 2001 (<em>for St John's: </em>174000-173000 = 1000). Since 1996 to 2001 is 5 years, and 2001 to 2006 is also 5 years, I can subtract 1000 from 2001's value (173000 - 1000 = 172000). Another example (for Saint John): 126000 - 123000 = 3000. 123000 - 3000 = 120000.
