This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Average rate of temperature change from 2:00 a.m. to 11:00 a.m. Formula: Average rate = ( T)/( t) T_2:00~ a.m. = -4^ C T_11:00~ a.m. = 14^ C T = 14^ C - (-4^ C) = 18^ C t = 11:00~ a.m. - 2:00~ a.m. = 9~ h Average rate = (18^ C)/(9~ h) = 2^ C/ h 2^ C/h Step 2: Average rate of temperature change from 11:00 a.m. to 2:00 p.m. Formula: Average rate = ( T)/( t) T_11:00~ a.m. = 14^ C T_2:00~ p.m. = -2^ C T = -2^ C - 14^ C = -16^ C t = 2:00~ p.m. - 11:00~ a.m. = 3~ h Average rate = (-16^ C)/(3~ h) = -(16)/(3)^ C/ h ≈ -5.33^ C/ h -(16)/(3)^ C/h Step 3: Average rate of temperature change from 2:00 a.m. to 2:00 p.m. Formula: Average rate = ( T)/( t) $T_2:00~ a.m. = -4^