Anna is an avid reader. Her generous grandparents gave her money for her birthday, and she decided to spend at most $150.00 on books. Reading Spot is running a special: all paperback books are $8.00 and hardback books are $12.00. Anna wants to purchase at least 12 books.1.) Write a system of inequalities to reach po represent the situation. 2.) Graph the region of the solutions to the inequality. 3.) Name two different solutions for Anna's situation.
Question
Answer:
Answer:The solutions for 3 questions are explained one after the other below.Step-by-step explanation:1).Let x be the number of paperback books that she buys, y be the number of hardback books that she buys.for the first condition, i.e, she has decided to spend at most $150.00 on books,the required inequality will be :[tex]8x+12y\leq 150[/tex]for the second condition , i.e, she wants to purchase at least 12 books,the required inequality will be:[tex]x+y\geq 12[/tex]2). the graph is in the attachment..3). x,y are the two required solutions. where, x =number of paperback books she buys. y=number of hardback books she buys.
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