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lesya692 [45]
3 years ago
12

A clothing business finds there is a linear relationship between the number of shirts, Q ,it can sell and the price, P , it can

charge per shirt. In particular, historical data shows that 4000 shirts can be sold at a price of $ 133 , while 27000 shirts can be sold at a price of $ 41 . Give a linear equation in the form P = a Q + b that gives the price P they can charge for Q shirts. (This is called a demand function.)
Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

P=aQ+b

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149

The linear equation is:

P = -0.004Q + 149

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Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

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2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

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<u>Common measures of variation</u>

<u>Variance</u>

S²= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

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∑X²= 5770

n= 14

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The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

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R= Xmax - Xmin= 34 - 8= 26

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Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

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The first quantile is the number between position 3 and position 4

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The third Quantile is between position 10 and 11

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