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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

A company spends \200onequipmentandon equipment and$8perhouronlabor.Revenueisper hour on labor. Revenue is$15perhour.Afterhowmanyhoursper hour. After how many hoursh$ does revenue exceed total cost?

  • A

    h>25h > 25

  • B

    h>30h > 30

  • C

    h>8h > 8

  • D

    h>2007h > \dfrac{200}{7}

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Explanation

15h>200+8h⇒7h>200⇒h>200/7≈28.615h > 200 + 8h \Rightarrow 7h > 200 \Rightarrow h > 200/7 \approx 28.6.

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