question alexa conducted a scientific experiment. for a certain time, the temperature of a compound rose 3…

question alexa conducted a scientific experiment. for a certain time, the temperature of a compound rose 3 1/2 degrees every 2/3 of an hour. how much did the temperature of the compound rise in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

question alexa conducted a scientific experiment. for a certain time, the temperature of a compound rose 3 1/2 degrees every 2/3 of an hour. how much did the temperature of the compound rise in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answer

Explanation:

Step1: Set up the rate - calculation formula

We know that the temperature rises $3\frac{1}{2}=\frac{7}{2}$ degrees in $\frac{2}{3}$ of an hour. Let $x$ be the temperature rise in 1 hour. We can set up a proportion: $\frac{\frac{7}{2}}{\frac{2}{3}}=x$.

Step2: Calculate the value of $x$

Using the rule of dividing by a fraction ($a\div\frac{b}{c}=a\times\frac{c}{b}$), we have $x = \frac{7}{2}\div\frac{2}{3}=\frac{7}{2}\times\frac{3}{2}=\frac{21}{4}$.

Step3: Convert to a mixed - number

$\frac{21}{4}=5\frac{1}{4}$

Answer:

$5\frac{1}{4}$