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Answer :
Sure! Let's break down the problem step-by-step:
1. Understanding the Problem:
- Kevin's oven initially has a temperature that's twice the room temperature.
- He needs to adjust the oven temperature to help the yeast, a key ingredient in bread-making, thrive. Yeast thrives in the temperature range of 90°F to 95°F.
- Kevin decreases the oven temperature by 44°F for this purpose.
2. Setting Up the Inequality:
- Let's represent the room temperature as [tex]\( x \)[/tex].
- The initial oven temperature is [tex]\( 2x \)[/tex] because it's twice the room temperature.
- After Kevin decreases the initial oven temperature by 44°F, the new oven temperature is [tex]\( 2x - 44 \)[/tex].
- We need this new oven temperature to be between 90°F and 95°F to ensure optimal yeast growth.
3. Formulating the Inequality:
- The problem gives us that the reduced oven temperature should be within the range: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
4. Conclusion:
- Based on the description provided and the setup of our inequality, the correct representation of the situation is:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
Thus, the inequality that represents the situation is option D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
1. Understanding the Problem:
- Kevin's oven initially has a temperature that's twice the room temperature.
- He needs to adjust the oven temperature to help the yeast, a key ingredient in bread-making, thrive. Yeast thrives in the temperature range of 90°F to 95°F.
- Kevin decreases the oven temperature by 44°F for this purpose.
2. Setting Up the Inequality:
- Let's represent the room temperature as [tex]\( x \)[/tex].
- The initial oven temperature is [tex]\( 2x \)[/tex] because it's twice the room temperature.
- After Kevin decreases the initial oven temperature by 44°F, the new oven temperature is [tex]\( 2x - 44 \)[/tex].
- We need this new oven temperature to be between 90°F and 95°F to ensure optimal yeast growth.
3. Formulating the Inequality:
- The problem gives us that the reduced oven temperature should be within the range: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
4. Conclusion:
- Based on the description provided and the setup of our inequality, the correct representation of the situation is:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
Thus, the inequality that represents the situation is option D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
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