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Lily 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 equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?

User Achennu
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Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

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User Ingyhere
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4 votes

Answer:

The slope is 100

Explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

User Kstew
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