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Answer :
To solve the problem, let's follow a step-by-step approach:
1. Identify Key Variables:
- Let [tex]\( x \)[/tex] represent the room temperature in degrees Fahrenheit.
- According to the problem, the initial oven temperature is twice the room temperature, which means it's [tex]\( 2x \)[/tex].
2. Yeast Temperature Range:
- Yeast thrives between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
3. Adjust the Oven Temperature:
- To facilitate yeast growth, Kevin decreases the initial oven temperature by [tex]\( 44^\circ F \)[/tex].
- Thus, the effective temperature for yeast is [tex]\( 2x - 44 \)[/tex].
4. Set Up the Inequality:
- We need the temperature [tex]\( 2x - 44 \)[/tex] to be within the yeast thriving range:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
5. Identify the Correct Answer:
- This inequality corresponds to option B in the choices provided:
[tex]\[ B. \, 90 \leq 2x - 44 \leq 95 \][/tex]
Therefore, the inequality that represents the given situation is option B.
1. Identify Key Variables:
- Let [tex]\( x \)[/tex] represent the room temperature in degrees Fahrenheit.
- According to the problem, the initial oven temperature is twice the room temperature, which means it's [tex]\( 2x \)[/tex].
2. Yeast Temperature Range:
- Yeast thrives between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
3. Adjust the Oven Temperature:
- To facilitate yeast growth, Kevin decreases the initial oven temperature by [tex]\( 44^\circ F \)[/tex].
- Thus, the effective temperature for yeast is [tex]\( 2x - 44 \)[/tex].
4. Set Up the Inequality:
- We need the temperature [tex]\( 2x - 44 \)[/tex] to be within the yeast thriving range:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
5. Identify the Correct Answer:
- This inequality corresponds to option B in the choices provided:
[tex]\[ B. \, 90 \leq 2x - 44 \leq 95 \][/tex]
Therefore, the inequality that represents the given situation is option B.
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