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it costs a company 110 to produce 10 units of a certain item per day and 135 produce 15 units of the same item per day a d

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. It costs a company $110 to produce 10 units of a certain item per day and $135 produce 15 units of the same item per day. a) Determine the linear equation of the line that models the situation. b) What is the cost of producing 90 items per day?

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Answer to a math question . It costs a company $110 to produce 10 units of a certain item per day and $135 produce 15 units of the same item per day. a) Determine the linear equation of the line that models the situation. b) What is the cost of producing 90 items per day?

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92 Answers

To find the linear equation:

1. Identify two given points: (10, 110) and (15, 135).
2. Calculate the slope:

m = \frac{135 - 110}{15 - 10} = \frac{25}{5} = 5

3. Use the point-slope form with point (10, 110):

y - 110 = 5(x - 10)

4. Solve for \( y \):

y - 110 = 5x - 50

y = 5x + 60

5. Use the equation \( y = 5x + 60 \) to find the cost for 90 units:

y = 5(90) + 60 = 450 + 60 = 510

Answer:

y = 510

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