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Linear Inequalities in One or Two Variables

SAT Math· difficulty 4/5

Layla is saving money. She starts with 80andsaves80 and saves 15 per week. She wants at least $300. What is the fewest number of full weeks needed?

  • A

    14

  • B

    16

  • C

    13

  • D

    15

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Explanation

80+15w≥30080 + 15w \geq 300, so 15w≥22015w \geq 220 and w≥14.67w \geq 14.67. Since ww must be a whole number of weeks, the fewest is w=15w = 15.

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