dontmindme3 dontmindme3

Today at 8:58 PM
Mathematics

Answered

Guys, I really need help!
A clothing business finds there is a linear relationship between the number of shirts,n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 2000 shirts can be sold at a price of $91, while 5000 shirts can be sold at a price of $82. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts.

Answer :

muhammad655 muhammad655

Today at 9:03 PM

Answer:

The answer is

[tex]p = \frac{ - 3}{1000} n + 97[/tex]

Step-by-step explanation:

We have the points (2000,91) and (5000,82)

Then

[tex]m = \frac{91 - 82}{2000 - 5000} = \frac{ - 3}{1000} \\ to \: find \: the \: b \\ 91 = \frac{ - 3}{1000} \times 2000 + b \\ b = 97 \\ then \: the \: equation \: is \: \\ p = \frac{ - 3}{1000} n + 97[/tex]

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