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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].
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].
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