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Answer :
- Let $x$ be the room temperature, so the initial oven temperature is $2x$.
- Kevin decreases the oven temperature by $44^{\circ} F$, resulting in a new temperature of $2x - 44$.
- The yeast thrives in the temperature range of $90^{\circ} F$ to $95^{\circ} F$, so $90 \leq 2x - 44 \leq 95$.
- The correct inequality representing the situation is $\boxed{90 \leq 2x - 44 \leq 95}$.
### Explanation
1. Problem Analysis
Let's analyze the problem. We are given that the initial temperature of the oven is twice the room temperature, which we can denote as $2x$, where $x$ is the room temperature. Kevin decreases the temperature by $44^{\circ} F$, so the new temperature is $2x - 44$. We also know that the yeast thrives in the temperature range of $90^{\circ} F$ to $95^{\circ} F$. This means that the temperature $2x - 44$ must be between $90$ and $95$, inclusive.
2. Forming the Inequality
Now, we can write the inequality that represents this situation. Since the temperature $2x - 44$ must be greater than or equal to $90$ and less than or equal to $95$, we have:$$90 \leq 2x - 44 \leq 95$$
3. Identifying the Correct Option
Comparing this inequality with the given options, we see that it matches option D. Therefore, the correct answer is D.
4. Final Answer
The inequality that represents the given situation is $90 \leq 2x - 44 \leq 95$.
### Examples
Understanding inequalities like this is useful in many real-life situations. For example, if you're planning a road trip and need to keep your travel time within a certain range due to daylight hours or budget constraints, you can use inequalities to determine the possible distances you can cover each day. Similarly, in cooking, maintaining temperatures within a specific range is crucial for the success of many recipes, just like Kevin's bread baking!
- Kevin decreases the oven temperature by $44^{\circ} F$, resulting in a new temperature of $2x - 44$.
- The yeast thrives in the temperature range of $90^{\circ} F$ to $95^{\circ} F$, so $90 \leq 2x - 44 \leq 95$.
- The correct inequality representing the situation is $\boxed{90 \leq 2x - 44 \leq 95}$.
### Explanation
1. Problem Analysis
Let's analyze the problem. We are given that the initial temperature of the oven is twice the room temperature, which we can denote as $2x$, where $x$ is the room temperature. Kevin decreases the temperature by $44^{\circ} F$, so the new temperature is $2x - 44$. We also know that the yeast thrives in the temperature range of $90^{\circ} F$ to $95^{\circ} F$. This means that the temperature $2x - 44$ must be between $90$ and $95$, inclusive.
2. Forming the Inequality
Now, we can write the inequality that represents this situation. Since the temperature $2x - 44$ must be greater than or equal to $90$ and less than or equal to $95$, we have:$$90 \leq 2x - 44 \leq 95$$
3. Identifying the Correct Option
Comparing this inequality with the given options, we see that it matches option D. Therefore, the correct answer is D.
4. Final Answer
The inequality that represents the given situation is $90 \leq 2x - 44 \leq 95$.
### Examples
Understanding inequalities like this is useful in many real-life situations. For example, if you're planning a road trip and need to keep your travel time within a certain range due to daylight hours or budget constraints, you can use inequalities to determine the possible distances you can cover each day. Similarly, in cooking, maintaining temperatures within a specific range is crucial for the success of many recipes, just like Kevin's bread baking!
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