Question

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?

Answer 1

Answer: $y=6+\dfrac{90}{x}$

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)=$6x$

Also, She spent $90 on new tools.

Therefore, the total cost for building x bird house(in dollars) =$6x+90$

Now, The average cost per birdhouse =$\dfrac{6x+90}{x}$

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

$y\dfrac{6x+90}{x}=6+\dfrac{90}{x}$

Answer 2

Answer: C
Y=90+6x/x

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