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The cost of manufacturing A certain type of headphone varies inversely as the number of headphones increase . If 5000 headphones can be manufactured for $15.00 each find the cost to manufacture 7,500 headphones

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Why are the Fundamental Orders of Connecticut important?

The cost to manufacture 7,500 headphones will be $10.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The cost of manufacturing A certain type of headphone varies inversely as the number of headphones increase.

Let x be the number of headphones and y be the cost of manufacturing.

Then the equation of the proportionality will be

y ∝ 1/x

When the sign of proportionality is replaced with equal sign, then the constant k is introduced.

y = k/x

If 5000 headphones can be manufactured for $15.00 each.

Then the value of k will be

k = 5000 x 15

k = 75,000

Then the cost to manufacture 7,500 headphones will be

y = 75000 / 7500

y = $10

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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