Answer :
To solve this problem, let's break it down step by step:
1. Identify the Variables and Relationships:
- Let [tex]\( x \)[/tex] represent the room temperature in degrees Fahrenheit.
- The initial temperature of the oven is twice the room temperature, so it is [tex]\( 2x \)[/tex].
2. Consider the Temperature Adjustment:
- Kevin decreases the oven temperature by [tex]\( 44^\circ F \)[/tex]. So, the new temperature of the oven becomes [tex]\( 2x - 44 \)[/tex].
3. Determine the Required Temperature Range:
- The yeast thrives within a temperature range of [tex]\( 90^\circ F \)[/tex] to [tex]\( 95^\circ F \)[/tex].
4. Formulate the Inequality:
- To ensure the yeast thrives, the adjusted oven temperature must fall within the yeast's favorable range.
- This gives us the inequality: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
5. Review the Options:
- From our formulation, the correct inequality matches option B: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
So, the correct answer is option B. This represents the situation accurately, ensuring the oven temperature is adjusted appropriately for the yeast to grow effectively.
1. Identify the Variables and Relationships:
- Let [tex]\( x \)[/tex] represent the room temperature in degrees Fahrenheit.
- The initial temperature of the oven is twice the room temperature, so it is [tex]\( 2x \)[/tex].
2. Consider the Temperature Adjustment:
- Kevin decreases the oven temperature by [tex]\( 44^\circ F \)[/tex]. So, the new temperature of the oven becomes [tex]\( 2x - 44 \)[/tex].
3. Determine the Required Temperature Range:
- The yeast thrives within a temperature range of [tex]\( 90^\circ F \)[/tex] to [tex]\( 95^\circ F \)[/tex].
4. Formulate the Inequality:
- To ensure the yeast thrives, the adjusted oven temperature must fall within the yeast's favorable range.
- This gives us the inequality: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
5. Review the Options:
- From our formulation, the correct inequality matches option B: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
So, the correct answer is option B. This represents the situation accurately, ensuring the oven temperature is adjusted appropriately for the yeast to grow effectively.
