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Nora is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $150 for each phone manufactured, and the total cost of producing 8 phones in a day would be $2200. Write an equation for C, in terms of p, representing total cost, in dollars, of producing p phones in a given day.

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Answer:

c = 150p + 1000

Explanation:

We know the variable cost is 150 per phone, so the total cost will be ...

c = 150p +b . . . . for some value b

We also know the value of c for 8 phones, so we can find b:

2200 = 150(8) + b

2200 -1200 = b = 1000

Then the desired equation is ...

c = 150p + 1000

User Walterra
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