Question

a bookstore marks up the price of a book by 35% of the cost from the publisher. therefore, the bookstores price to the student, p(x) (in $) after a 6.6% sales tax, is given by p(x) = 1.066(x + 0.35x), where x is the cost of the book from the publisher. evaluate p(60) and interpret the meaning in the context of this problem. if the cost of the book from the publisher is $\square$, the cost to the student after the bookstore markup and sales tax is $\square$.

Explanation:

Step1: Substitute x=60 into the formula

$P(60) = 1.066(60 + 0.35\times60)$

Step2: Calculate the markup amount

$60 + 0.35\times60 = 60 + 21 = 81$

Step3: Calculate final price with tax

$P(60) = 1.066\times81$
$P(60) = 86.346$

Answer:

If the cost of the book from the publisher is $\$60$, the cost to the student after the bookstore markup and sales tax is $\$86.35$ (rounded to the nearest cent, or $\$86.346$ as the exact value).

Interpretation: When the bookstore pays $60 to the publisher for a book, after adding a 35% markup and a 6.6% sales tax, the student will pay $86.35 for the book.