College

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

Answer :

Let's solve the problem step-by-step:

1. Understand the problem statement:
- The initial temperature of the oven is twice the room temperature. Let's denote the room temperature as [tex]\( x \)[/tex] degrees Fahrenheit. Therefore, the initial temperature of the oven would be [tex]\( 2x \)[/tex].
- Kevin decreases the oven's temperature by [tex]\( 44^\circ F \)[/tex] to facilitate yeast growth.
- Yeast thrives in the temperature range of [tex]\( 90^\circ F \)[/tex] to [tex]\( 95^\circ F \)[/tex].

2. Formulate the inequality:
- After decreasing the oven's temperature by [tex]\( 44^\circ F \)[/tex], the new oven temperature becomes [tex]\( 2x - 44 \)[/tex].
- We want this new temperature to be within the yeast thriving range, so we set up the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]

3. Conclusion:
- The correct inequality that represents the situation is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]

So, the answer is A. [tex]\(90 \leq 2x - 44 \leq 95\)[/tex].