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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 praticular historicaldata shows that 3000 shirts can be sold at a price of 56$ while 1500 shirts can be sold at a price of $8 give a linear equation in the form p=mn+b that gives the price p they can charge of n shirtsp=_____

Respuesta :

In this case the answer is very simple . .

To find the solution to the exercise we'll have to carry out several steps.

Step 01:

Data:

Point 01 :

3000 shirts , 56$ (3000, 56) x1 = 3000 y1 = 56

Point 02:

1500 shirts , 8$ (1500, 8) x2 = 1500 y2 = 8

p = mn + b price

Y = price X = shirts

Step 02:

We must calculate the slope of the line

The slope formula is:

[tex]m\text{ = }\frac{y2\text{ - y1}}{x2\text{ - x1}}[/tex]

We must substitute in the formula

[tex]m\text{ = }\frac{8\text{ -56}}{1500\text{ -3000}}\text{ = }\frac{-48}{-1500}=\text{ }\frac{48}{1500}[/tex]

Simplifying

[tex]m\text{ = }\frac{4}{125}[/tex]

Step 03: