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: C
Y=90+6x/x

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

Answer 2

Answer:
`y=6+(90)/(x)`

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 =
`(6x+90)/(x)`

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

`y(6x+90)/(x)=6+(90)/(x)`