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Sarah plans to sell homemade birdhouses at the local craft fair. She spent $90 on new tools and estimates that she spends $6 in materials for each birdhouse. Which rational function models the average cost per birdhouse, y, in dollars of building x birdhouses?

Respuesta :

Answer: C
Y=90+6x/x

90 new tools + 6 dollars (x) over x dollars
JeanaShupp

Answer: [tex]y=6+\dfrac{90}{x}[/tex]

Step-by-step explanation:

Let x represents the number of birdhouses and y be the  average cost per birdhouse (in dollars).

Since she spends $6 in materials for each birdhouse.

Therefore, the total material cost for x birdhouses (in dollars)=[tex]6x[/tex]

Also, She spent $90 on new tools.

Therefore, the total cost for building x bird house(in dollars) =[tex]6x+90[/tex]

Now, The average cost per birdhouse =[tex]\dfrac{6x+90}{x}[/tex]

Hence, the rational function models the average cost per birdhouse:

[tex]y\dfrac{6x+90}{x}=6+\dfrac{90}{x}[/tex]

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