Select the correct answer.

Kevin is baking bread for a family function. The initial temperature of the oven is twice the room temperature. He knows that yeast, a key ingredient, thrives within the temperature range of [tex]$90^{\circ} F$[/tex] to [tex]$95^{\circ} F$[/tex]. To facilitate yeast growth, Kevin decreases the temperature of the oven by [tex][tex]$44^{\circ} F$[/tex][/tex].

Which inequality represents the given situation?

A. [tex]$90 \leq 2x + 44 \leq 95$[/tex]

B. [tex]$90 \geq 2x - 44 \leq 95$[/tex]

C. [tex][tex]$90 \leq 2x - 44 \leq 95$[/tex][/tex]

D. [tex]$90 \geq 2x + 44 \leq 95$[/tex]

Sure! Let's go through the problem step by step to find the correct inequality that describes the situation:

1. Understand the Problem:
- The oven's initial temperature is twice the room temperature.
- The temperature is then decreased by 44°F to facilitate yeast growth, which thrives between 90°F and 95°F.

2. Define Variables:
- Let [tex]$ x $[/tex] represent the room temperature.
- Therefore, the initial oven temperature = [tex]$ 2x $[/tex].

3. Account for the Temperature Decrease:
- The temperature after decrease = [tex]$ 2x - 44 $[/tex].

4. Set up the Inequality:
- The reduced temperature should be in the range where yeast thrives, which is between 90°F and 95°F:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]

5. Choose the Correct Inequality from the Options:
- Let's compare our inequality with the options provided:

A. [tex]$ 90 \leq 2x + 44 \leq 95 $[/tex]

B. [tex]$ 90 \geq 2x - 44 \leq 95 $[/tex]

C. [tex]$ 90 \leq 2x - 44 \leq 95 $[/tex] [tex]$\leftarrow$[/tex] This matches our derived inequality.

D. [tex]$ 90 \geq 2x + 44 \leq 95 $[/tex]

6. Conclusion:
- The correct inequality is C: [tex]$ 90 \leq 2x - 44 \leq 95 $[/tex].

Therefore, the answer to the question is option C.