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

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

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

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

Answer :

Let the room temperature be denoted by [tex]$x$[/tex]. Then, the initial oven temperature is given by:

[tex]$$
2x
$$[/tex]

Kevin decreases the oven temperature by [tex]$44^\circ F$[/tex], so the adjusted oven temperature becomes:

[tex]$$
2x - 44
$$[/tex]

Since yeast thrives within the temperature range of [tex]$90^\circ F$[/tex] to [tex]$95^\circ F$[/tex], we set up the inequality:

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

This inequality represents the conditions that the adjusted oven temperature must satisfy. Comparing with the choices provided, the correct representation is:

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

Thus, the correct answer is option D.

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