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

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

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

Answer :

Let the room temperature be [tex]$x$[/tex]. According to the problem, the initial oven temperature is twice the room temperature. Thus, the initial temperature is

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

Kevin then decreases the temperature of the oven by [tex]$44^\circ F$[/tex], so the new temperature becomes

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

Since yeast thrives in a temperature range between [tex]$90^\circ F$[/tex] and [tex]$95^\circ F$[/tex], the new temperature must satisfy the inequality

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

This inequality represents the situation where the adjusted oven temperature is within the desired range for yeast growth. Hence, the correct answer is

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

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Rewritten by : Barada