College

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

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

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

Answer :

Let's analyze the problem step by step:

1. The oven's initial temperature is described as twice the room temperature. If the room temperature is [tex]$x$[/tex], then the initial temperature is
[tex]$$2x.$$[/tex]

2. Kevin lowers this temperature by [tex]$44^\circ F$[/tex], so the new temperature of the oven becomes
[tex]$$2x - 44.$$[/tex]

3. For yeast to thrive, the temperature must be between [tex]$90^\circ F$[/tex] and [tex]$95^\circ F$[/tex], inclusive. This requirement can be written as the inequality:
[tex]$$90 \leq 2x - 44 \leq 95.$$[/tex]

Thus, the inequality that correctly represents the situation is:
[tex]$$90 \leq 2x - 44 \leq 95.$$[/tex]

This corresponds to option B.