Math  /  Algebra

QuestionVideo
When Mr. Lloyd preheated his oven, the oven's temperature rose 3 degrees in 16\frac{1}{6} of a minute. At that rate, how much will the oven heat up in 1 minute?
Simplify your answer and write it as a proper fraction, mixed number, or whole number. \square degrees

Studdy Solution

STEP 1

1. The oven's temperature increases at a constant rate.
2. The oven's temperature rose 3 degrees in 16\frac{1}{6} of a minute.
3. We need to find out how much the oven heats up in 1 full minute.

STEP 2

1. Determine the rate of temperature increase per minute.
2. Calculate the total temperature increase in 1 minute.

STEP 3

Determine the rate of temperature increase per minute.
Since the temperature rose 3 degrees in 16\frac{1}{6} of a minute, we need to find out how many degrees it would rise in a full minute. To do this, divide the number of degrees by the fraction of the minute:
Rate per minute=3 degrees16 minute \text{Rate per minute} = \frac{3 \text{ degrees}}{\frac{1}{6} \text{ minute}}

STEP 4

Calculate the total temperature increase in 1 minute.
To divide by a fraction, multiply by its reciprocal:
Rate per minute=3×61 \text{Rate per minute} = 3 \times \frac{6}{1}
Rate per minute=18 \text{Rate per minute} = 18
Thus, the oven heats up by 18 degrees in 1 minute.
The oven heats up by 18\boxed{18} degrees in 1 minute.

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