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

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

Answer :

To solve this problem, we need to represent the given situation with an inequality. Here's a step-by-step breakdown:

1. Understand the Scenario:
- Kevin is using an oven where the initial temperature is twice the room temperature.
- Yeast works well between 90°F and 95°F.
- Kevin decreases the oven's temperature by 44°F to help the yeast.

2. Set up the Initial Condition:
- Initial oven temperature = [tex]\(2x\)[/tex], where [tex]\(x\)[/tex] represents the room temperature.

3. Adjust for Temperature Decrease:
- After decreasing by 44°F, the new temperature becomes [tex]\(2x - 44\)[/tex].

4. Identify the Target Temperature Range:
- The temperature suitable for yeast is 90°F to 95°F.

5. Form the Inequality:
- The adjusted temperature ([tex]\(2x - 44\)[/tex]) should fit within the range of 90°F to 95°F.
- This gives us the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]

6. Select the Correct Answer:
- Option B: [tex]\(90 \leq 2x - 44 \leq 95\)[/tex] correctly sets up this condition.

Therefore, the correct inequality representing Kevin's baking situation is option B: [tex]\(90 \leq 2x - 44 \leq 95\)[/tex].