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Jonah recorded the temperature outside for 7 hours. The temperature dropped 3 degrees each hour for the first 6 hours and then rose by 2 degrees in the last hour. The expression 
(-3)(6)+2 represents the net change in temperature over the 7 hours.
What value represents the net change in temperature in that time?
(A) -20
(B) -16
(C) 20
(D) 16

Jonah recorded the temperature outside for 77 hours. The temperature dropped 33 degrees each hour for the first 66 hours and then rose by 22 degrees in the last hour. The expression (3)(6)+2 (-3)(6)+2 represents the net change in temperature over the 77 hours.\newlineWhat value represents the net change in temperature in that time?\newline(A) 20-20\newline(B) 16-16\newline(C) 2020\newline(D) 1616

Full solution

Q. Jonah recorded the temperature outside for 77 hours. The temperature dropped 33 degrees each hour for the first 66 hours and then rose by 22 degrees in the last hour. The expression (3)(6)+2 (-3)(6)+2 represents the net change in temperature over the 77 hours.\newlineWhat value represents the net change in temperature in that time?\newline(A) 20-20\newline(B) 16-16\newline(C) 2020\newline(D) 1616
  1. Interpret expression: Interpret the expression.\newlineThe expression (3)(6) (-3)(6) represents the temperature drop of 3 3 degrees each hour for the first 6 6 hours. The +2+2 represents the temperature rise by 2 2 degrees in the last hour.
  2. Calculate temperature drop: Calculate the temperature drop over the first 66 hours.\newlineThe temperature dropped 33 degrees each hour for 66 hours, so we multiply 3-3 by 66.\newline(3)×6=18(-3) \times 6 = -18\newlineThis means the temperature dropped by 1818 degrees over the first 66 hours.
  3. Add temperature rise: Add the temperature rise in the last hour.\newlineThe temperature then rose by 22 degrees in the last hour. We add this to the previous total.\newline18+2=16-18 + 2 = -16\newlineThis means the net change in temperature over the 77 hours is 16-16 degrees.

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