Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows at a rate of 0.25 cm per week. Let t be the time in weeks. Which compound inequality models the scenario?

After t weeks, Clara’s hair length is 7 + 0.25t: it starts at 7 cm and grows 0.25 cm each week. “More than 11 cm” means the length must be greater than 11, while “no longer than 15 cm” means it can equal 15. Together, these conditions are 11 < 7 + 0.25t ≤ 15, which is choice D.

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