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? 0.25 + 7t > 11 or 0.25 + 7t ≤ 15 7 + 0.25t ≥ 11 or 7 + 0.25t < 15 11 ≤ 0.25 + 7t < 15 11 < 7 + 0.25t ≤ 15
After t weeks, Clara's hair will be 7 + 0.25t cm long. "No longer than" means that we use the symbol ≤ and "more than" means that we use the symbol >, hence, the answer is 11 < 7 + 0.25t ≤ 15.
