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22 November, 14:45

You have a gift certificate to a book store worth $95. Each paperback book is $10 and each hardcover book is $17. You must spend at least $20 in order to use the gift certificate. Write and graph a system of inequalities to model the number of each kind of books you can buy. Let x = the number of paperback books and y = the number of hardback books

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  1. 22 November, 14:47
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    You make a system of inequality to spend at least $20. The word "at least" means you can spend equal to $20 or higher than $20. Or you can write it as,

    ⇒ what you buy should be ≥ 20

    Input the price to the inequality above

    ⇒ what you buy should be ≥ 20

    ⇒ paperback price + hardcover price ≥ 20

    ⇒ 10x + 17y ≥ 20

    Because the number of paperback books and the number of hardcover books can't be negative, make new inequality forms

    ⇒ x ≥ 0

    ⇒ y ≥ 0

    So this is the summary

    10x + 17y ≥ 20

    x ≥ 0

    y ≥ 0
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