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An automated assembly line adjusts conveyor speed S(p) in meters per second based on hydraulic pressure p in kilopascals according to a linear function. When pressure p = 15, speed S = 4.0, and when pressure p = 35, speed S = 9.0. If pressure p is constrained such that 2.0 ≤ S(p) ≤ 11.5

What is the range of permissible values for pressure p?

  1. 7 ≤ p ≤ 45
  2. 8 ≤ p ≤ 46
  3. 9 ≤ p ≤ 47
  4. 5 ≤ p ≤ 43
  5. 0.25 ≤ p ≤ 2.375

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