Question

alang conducted a scientific experiment. for a certain time, the temperature of a compound rose $3\frac{3}{4}$ degrees every $1\frac{1}{4}$ hours. 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.

answer attempt 1 out of 2

Explanation:

Step1: Convert mixed numbers to improper fractions

The temperature rise is \(3\frac{3}{4}\) degrees, which is \(\frac{3\times4 + 3}{4}=\frac{15}{4}\) degrees. The time is \(1\frac{1}{4}\) hours, which is \(\frac{1\times4+ 1}{4}=\frac{5}{4}\) hours.

Step2: Calculate the rate

Rate is temperature change divided by time, so we divide \(\frac{15}{4}\) by \(\frac{5}{4}\). When dividing fractions, we multiply by the reciprocal: \(\frac{15}{4}\div\frac{5}{4}=\frac{15}{4}\times\frac{4}{5}\). The 4s cancel out, and we have \(\frac{15}{5}=3\).

Answer:

\(3\)