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C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)

Respuesta :

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

   Total cost to produce 1000 shirts will be $3500.

Linear equation:

  •    A linear equation with two variables 'x' and 'y' are given by,

            y = mx + b

            Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

  • If C(x) = $800, x = 100,

          800 = m(100) + 500

             m = 3

        Equation for the total cost to produce the 'x' shirts will be,

        C(x) = 3x + 500

  • If x = 1000,

        C(x) = 3(1000) + 500

             x = $3500

     Therefore, total cost to produce 1000 shirts will be $3500.

Learn more about the linear equation here,

https://brainly.com/question/24391884?referrer=searchResults

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