Respuesta :
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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