The rate at which the temperature of the compound rose is
degrees per hour. As a mixed number, it is 4
degrees per hour.
Let's break down the information provided:
The temperature of the compound rose 1 1/2 degrees.
The time it took for this temperature rise was 1/3 of an hour.
To find the rate at which the temperature rose, we can set up a ratio using the given values:
To simplify this ratio, we can multiply both the numerator and denominator by 3 to get rid of the fraction in the denominator:
This simplifies to:
Now, convert the mixed number to an improper fraction:
So, the rate at which the temperature rose is
degrees per hour.
Now, let's represent this on the double number line. Suppose we have a segment of length 1 representing 1 hour.
We divide it into three equal parts to represent 1/3 of an hour.
On the double number line, we mark the starting point, the point where the temperature rose 1 1/2 degrees after 1/3 of an hour, and the endpoint
0 1 2
|---------------------|---------------------|
^ ^ ^
| | |
0 1 1/2 9/2
Therefore, the missing value is
degrees per hour.
In mixed number form, this is 4
degrees per hour, and in whole number form, it is 4.5 degrees per hour.
Question
Ethan conducted a scientific experiment. For a certain time, the temperature of a compound rose 1 1/2 degrees in 1/3 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 Enter your final answer as a whole number, proper fraction, or mixed number in simplest form. Answer type: Mixed number □ /□ degrees per hour