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.

1 answer

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}}.