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Answer :
Sure! Let's go through the problem step by step.
1. Identify Room and Oven Temperature Relationships:
- Let [tex]\( x \)[/tex] represent the room temperature.
- According to the question, the initial temperature of the oven is twice the room temperature. So, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
2. Adjust the Oven Temperature:
- Kevin decreases the oven temperature by [tex]\( 44^{\circ} F \)[/tex].
- So, the new temperature of the oven is [tex]\( 2x - 44 \)[/tex].
3. Temperature Range for Yeast Growth:
- The yeast needs to thrive within the range of [tex]\( 90^{\circ} F \)[/tex] to [tex]\( 95^{\circ} F \)[/tex].
4. Establish the Inequality:
- Since the yeast must grow in that specific range, the inequality representing the situation is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
- This inequality ensures that the adjusted oven temperature falls within the optimal range for yeast growth.
5. Select the Correct Answer:
- From the options provided, option B matches our derived inequality:
- B. [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
Thus, the correct inequality that represents the given situation is option B.
1. Identify Room and Oven Temperature Relationships:
- Let [tex]\( x \)[/tex] represent the room temperature.
- According to the question, the initial temperature of the oven is twice the room temperature. So, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
2. Adjust the Oven Temperature:
- Kevin decreases the oven temperature by [tex]\( 44^{\circ} F \)[/tex].
- So, the new temperature of the oven is [tex]\( 2x - 44 \)[/tex].
3. Temperature Range for Yeast Growth:
- The yeast needs to thrive within the range of [tex]\( 90^{\circ} F \)[/tex] to [tex]\( 95^{\circ} F \)[/tex].
4. Establish the Inequality:
- Since the yeast must grow in that specific range, the inequality representing the situation is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
- This inequality ensures that the adjusted oven temperature falls within the optimal range for yeast growth.
5. Select the Correct Answer:
- From the options provided, option B matches our derived inequality:
- B. [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
Thus, the correct inequality that represents the given situation is option B.
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