Angel conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 1/2 degrees every 2/5 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.
To find the rate at which the temperature rose in degrees per hour, we need to find the amount the temperature rose per hour.
The temperature rose by 2 1/2 degrees every 2/5 of an hour.
To find the temperature rise per hour, we can set up a proportion:
(2 1/2 degrees) / (2/5 hour) = x degrees / 1 hour.
To find x, we can cross multiply:
(2 1/2 degrees) * (1 hour) = (2/5 hour) * x degrees.
Simplifying the left side, we have:
(5/2 degrees) * (1 hour) = (2/5 hour) * x degrees.
Multiplying the fractions, we get:
(5/2) * (1) = (2/5) * x.
Simplifying, we have:
5/2 = 2/5 * x.
To solve for x, we can multiply both sides by 5/2:
5/2 * (5/2) = 2/5 * x * (5/2).
Simplifying, we have:
25/4 = 1 * x.
Therefore, x = 25/4.
The rate at which the temperature rose is 25/4 degrees per hour.
We can also express this as a mixed number in simplest form:
25/4 = 6 1/4.
Therefore, the rate at which the temperature rose is 6 1/4 degrees per hour. Answer: \boxed{6 \frac{1}{4}}.