# The meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over t

Question

The meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over the next six and one fourth hours. how much did the temperature drop each hour?

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1 month 2022-12-31T05:02:25+00:00 1 Answer 0 views 0

1. Temperature is falling by 3.968 degrees or the temperature will change by -3.698(by convention) degrees per hour.
Given: Temperature will drop by 24.8 degrees over the next six and one-fourth hours. To find how much temperature drops each hour.
What is the unitary method?
The unitary method is a process for finding the value for a single unit or an object from a given set of information where the value of some finite quantity of object is given.
With the help of this value, we can find the quantity required for a required number of objects provided the change is constant.
Let’s solve the problem:
The temperature dropped by 24.8 degrees
Total time = 6 and 1 / 4 hours is 6 and 0.25 hours.
Therefore, 6 + 0.25 hours = 6.25 hours
Let’s apply the unitary method:
24.8 degrees will fall over 6.25 hours or
Within 6.25 hours temperature will fall by 24.8 degrees
So, in 1-hour the temperature will fall by 24.8 / 6.25 degrees.
Therefore, in 1-hour the temperature will fall by 3.968 degrees.
Since no information about the way the temperature will fall is given, we assume the temperature fall is steady throughout and is dropping at a constant rate per hour.
As the temperature is dropping, by convention we add a negative sign in front of the value.
Hence temperature is falling by 3.968 degrees or the temperature will change by -3.698(by convention) degrees per hour.
Know more about the “unitary method” here:
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