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]44^{\circ} F[/tex].

Which inequality represents the given situation?

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

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

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

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

Certainly! Let's work through this problem step by step to find the correct inequality.

1. Understanding the Temperatures:
- Let's assume the temperature of the room is [tex]$ x $[/tex] (in degrees Fahrenheit).
- The initial temperature of the oven is twice the room temperature, which is [tex]$ 2x $[/tex].

2. Adjusting the Oven Temperature:
- Kevin decreases the temperature of the oven by [tex]$ 44^{\circ} F $[/tex].
- Therefore, the new temperature of the oven becomes [tex]$ 2x - 44 $[/tex].

3. Yeast's Thriving Temperature Range:
- Yeast thrives within the temperature range of [tex]$ 90^{\circ} F $[/tex] to [tex]$ 95^{\circ} F $[/tex].
- This means that the oven's temperature should satisfy the condition: [tex]$ 90 \leq 2x - 44 \leq 95 $[/tex].

4. Formulating the Inequality:
- So the inequality that represents the situation where the temperature is adjusted correctly for the yeast to thrive is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]

Therefore, the correct inequality representing this situation is:
[tex]\[
\text{Option D: } 90 \leq 2x - 44 \leq 95
\][/tex]

This shows that the temperature range of the oven, after adjustment, falls within the optimal range for yeast growth.