Question

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. The compound inequality 11 < 7 + 0.25t ≤ 15 models the scenario. How long will it take Clara to grow out her hair to the desired length? It will take Clara more than blank weeks and up to and including blank weeks to grow out her hair. Fill in the blanks

Answer 1

16, 32

Explanation:

We need to solve for t in this compound inequality. Let's do that!

11 < 7 + 0.25t ≤ 15

4 < 0.25t ≤ 8

16 < t ≤ 32

Therefore, we know that it will take Clara more than 16 weeks and up to and including 32 weeks to grow out her hair.