Hannah conducted a scientific experiment. For a certain time, the temperature of a compound rose 3, one half3
2
1
degrees every start fraction, 2, divided by, 3, end fraction
3
2
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.
To find the rate at which the temperature rose, we can divide the rise in temperature by the time it took.
The temperature of the compound rose by 3 + 1/2 = 3 1/2 degrees.
The time it took for this rise in temperature was 2/3 hours.
To divide 3 1/2 by 2/3, we can convert the mixed number to an improper fraction:
3 1/2 = (2 * 3) + 1 = 7/2
Now, we can divide 7/2 by 2/3:
(7/2) ÷ (2/3) = (7/2) * (3/2) = 21/4
So, the rate at which the temperature of the compound rose was 21/4 degrees per hour.