Question

ms. mitchell, the head librarian at the madison county library, can spend at most $4,600 to expand the childrens section of the library. when she buys from a particular discount seller, paperback books cost $3 each and hardback books cost $15 each. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of paperback books y = the number of hardback books 3 + x + 15 + y ≥ 4,600 3x + 15y ≤ 4,600 3x + 15y ≥ 4,600 3 + x + 15 + y ≤ 4,600

Explanation:

Step1: Calculate cost of paperback books

The cost of each paperback book is $3 and the number of paperback books is $x$, so the total cost of paperback books is $3x$.

Step2: Calculate cost of hardback books

The cost of each hard - back book is $15 and the number of hard - back books is $y$, so the total cost of hardback books is $15y$.

Step3: Set up the inequality

Ms. Mitchell can spend at most $4600. So the sum of the cost of paperback books and hardback books must be less than or equal to $4600. The inequality is $3x + 15y\leq4600$.

Answer:

$3x + 15y\leq4600$