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Kaylee conducted a scientific experiment. For a certain time, the temperature of a compound rose 1 1/2​ degrees every 3/5 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

 May 18, 2023
 #1
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The answer is 21/2.

 May 18, 2023
 #2
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Kaylee conducted a scientific experiment. For a certain time, the temperature of a compound rose 1 1/2​ degrees every 3/5 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.  

 

Sometimes we aren't certain whether to multiply or divide.  

Tip:  In math, "per" means "divided by" so  

 

"degrees per hour" means divide the degrees by the hours  

 

                                                               3 / 2  degrees  

                                                             –––––––––––––  

                                                               3 / 5  hour    

To divide by a fraction,   

invert the divisor and  

multiply.   

                                                                3         5  

                                                               –––  *  –––   deg/hr  

                                                                 2         3  

The 3's cancel, leaving  

                                                                5  

                                                               –––   deg/hr  

                                                                 2  

 

Which probably the simplist form is  2-1/2 deg/hr  (two and a half degrees per hour)  

.

 May 18, 2023
 #3
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Given that the temperature rose 1 1/2 degrees every 3/5 of an hour, we can convert the given information into a rate per hour.

Let's calculate the change in temperature per hour:

First, we'll find the change in temperature for 1 hour.

Since 3/5 of an hour is equal to 1, we can say that in 1 hour, the temperature will rise by 1 1/2 degrees.

Therefore, the rate at which the temperature rose is 1 1/2 degrees per hour, which can also be written as a mixed number: 1 1/2.

So, the temperature rose at a rate of 1 1/2 degrees per hour. My-Estub.com Login

 May 18, 2023

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