On Friday, the temperature changed at a rate of −4°F per hour. How many hours did it take for the change in temperature to be −24°F?
A) −6
B) −24****
C) 6
D) 24
The answer is 6-
To solve this problem, we need to figure out how many hours it takes for the temperature to change from one value to another at a given rate.
In this case, the temperature is changing at a rate of -4°F per hour, meaning it is decreasing by 4°F every hour.
We want to know how many hours it takes for the temperature to change to -24°F. Since the temperature is decreasing, it will take more than 6 hours to reach -24°F.
To find out exactly how many hours it takes, we can set up an equation:
Change in temperature = Rate of change × Number of hours
-24°F - initial temperature = -4°F/hour × Number of hours
Simplifying the equation:
-24°F = -4°F/hour × Number of hours
To isolate Number of hours, we can divide both sides of the equation by -4°F/hour:
Number of hours = -24°F / -4°F/hour
Number of hours = 6 hours
Therefore, it takes 6 hours for the change in temperature to be -24°F.
So, the correct answer is C) 6.