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masya89 [10]
3 years ago
10

Avery is in the business of manufacturing phones. She must pay a daily fixed cost to

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

The equation that represents the total cost in dollars is C = 100p + 300

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope ⇒ rate of change
  • b is the y-intercept ⇒ fixed amount

∵ Avery must pay a daily fixed cost to  rent the building and equipment

∴ There is a fixed amount b

∵ She pays a cost per phone produced for  materials and labor

∴ There is a rate m

∵ C represents the total cost of producing p phones in dollars

→ Form the linear equation for the situation

∴ The equation is C = m p + b

∵ The labor and materials cost $100 for each phone

∴ m = 100

→ Substitute it in the equation above

∴ C = 100p + b

∵ The cost of producing 3 phones in a day would be $600

∴ p = 3 and C = 600

→ Substitute them in the equation above to find b

∵ 600 = 100(3) + b

∴ 600 = 300 + b

→ Subtract 300 from both sides to find b

∵ 600 - 300 = 300 - 300 + b

∴ 300 = b

→ Substitute it in the equation

∴ C = 100p + 300

∴ The equation that represents the total cost in dollars is C = 100p + 300

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