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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]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]

Answer :

Let [tex]$x$[/tex] represent the room temperature. According to the problem, the initial temperature of the oven is twice the room temperature, which gives an initial oven temperature of
[tex]$$
2x.
$$[/tex]

Kevin then decreases the temperature by [tex]$44^\circ F$[/tex], so the final oven temperature becomes
[tex]$$
2x - 44.
$$[/tex]

Since yeast thrives at temperatures between [tex]$90^\circ F$[/tex] and [tex]$95^\circ F$[/tex], we need the final temperature to satisfy the inequality:
[tex]$$
90 \leq 2x - 44 \leq 95.
$$[/tex]

This inequality represents the situation correctly, which means the correct answer is:

[tex]$$
\textbf{D. } 90 \leq 2x - 44 \leq 95.
$$[/tex]

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