Aused book store buys a hardback book for $1.50 and then sells it for $5. over time, the store sells the same number of books it buys. the store manager can use the equation p(x)=5x−1.5x to determine the store's profit, p(x), where x is the number of books that the store sells. which statement about the book store is true based on the profit equation? a. the book store makes a profit of $5.00 for each hardback book that is sold. b. the book store makes a profit of $3.50 for each hardback book that is sold. c. the book store makes a profit of $4.50 for each hardback book that is sold. d. the book store sells each hardback book for $3.50

A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books it buys. The store manager can use the equation P(x)=5x−1.5x to determine the store's profit, P(x), where x is the number of books that the store sells. Which statement about the book store is true based on the profit equation?

Cost Price of book, C.P.=$1.50

Selling Price of book, S.P.=$5

PROFIT=S.P. -C.P.

So, Profit=$5-$1.50=$3.50

So, Profit=$3.50 on each book

Or, we are given P(x)= 5x-1.50x

Or, P(x)=3.50x

For each book, we must divide the profit P(x) by x, that is, number of books

So, Profit for each book sold is $3.50

Option C

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: