Question

Brianna conducted a scientific experiment. For a certain time, the temperature of a compound rose 1, one sixth 1 1 6 1 6 1 ​ degrees in 5 5 5 minutes. 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.

Answer 1

84 degrees per hour.

Explanation:

To find the rate at which the temperature of the compound rose in degrees per hour, we'll first calculate the rate in degrees per minute and then convert it to degrees per hour.

Given:

- The temperature rose by 1 1/6 degrees in 5 minutes.

To find the rate in degrees per minute, divide the change in temperature by the time in minutes:

Rate per minute = (1 1/6 degrees) / (5 minutes)

To make this division easier, convert 1 1/6 to an improper fraction:

1 1/6 = 7/6

Now, divide:

Rate per minute = (7/6 degrees) / (5 minutes)

To find the rate in degrees per hour, we need to consider that there are 60 minutes in an hour. So, multiply the rate per minute by 60 to convert it to degrees per hour:

Rate per hour = (Rate per minute) * 60

Rate per hour = ((7/6 degrees) / (5 minutes)) * 60

Now, calculate the rate per hour:

Rate per hour = (7/6 degrees) * (60/5)

To simplify, first cancel common factors:

Rate per hour = (7/6 degrees) * (12)

Now, multiply:

Rate per hour = 7 * 12 degrees

Rate per hour = 84 degrees per hour

So, the rate at which the temperature of the compound rose was 84 degrees per hour.