A weather forecaster predicts that the temperature in Antarctica will decrease 8^{circ}F each hour for the next 6 hours. Write and solve an inequality to determine how many hours it will take for the temperature to drop at least 36^{circ}F

Dottie Parra 2021-01-06 Answered
A weather forecaster predicts that the temperature in Antarctica will decrease 8F each hour for the next 6 hours. Write and solve an inequality to determine how many hours it will take for the temperature to drop at least 36F
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SkladanH
Answered 2021-01-07 Author has 80 answers
Given information:
Since, the temperature in Antarctica decreases by 8F each hour for every 6 hours, using h as the number of hours it will take to drop at least 36F, then we can use the inequality 8h36:
Calculation:
Given,
8h36
Divide both sides of the inequality by 8
8h8368
h4.5
Hence, the minimum hours it will take at least 4.5 hours before the temperature drops to 36F.
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Jeffrey Jordon
Answered 2021-10-06 Author has 2047 answers

Given:
m = -8 degrees/hour, the rate of change of temperature

Let x =  hours 
Let y = temperature, F
Then y = -8x + b
where b = constant

When x = 0, then y = b.
Therefore b = initial temperature

If the temperature drops by at least 36 F in the next x hours, then
by(6)36
b(8x+b)36
8x36
x4.5 hours

Answer:  At least 4.5 hours

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