Answer:
68 [tex]^\circ F[/tex]
Step-by-step explanation:
Initial temperature in the northeast in the midnight = 5 [tex]^\circ F[/tex]
Drop for the next three hours = 3 degrees per hour.
Temperature after the 3 hours = 5 [tex]^\circ F[/tex] - 3 - 3 - 3 = - 4[tex]^\circ F[/tex]
Now, it is given that the temperature is rising 8[tex]^\circ F[/tex] every hour.
3 hours have already passed from the midnight.
Now, there are 9 more hours till noon.
So, the temperature at noon can be found by adding 8 for 9 times in the temperature after 3 hours.
Temperature at noon = - 4 + 8 + 8 .... 9 times
Temperature at noon = - 4 + 9 [tex]\times[/tex] 8 = -4 +72 = 68[tex]^\circ F[/tex]
Therefore, the answer is: 68[tex]^\circ F[/tex]
