Answer :
To solve this problem, let's carefully look at the situation.
1. Initial Condition:
- The initial temperature of the oven is twice the room temperature. Let's call the room temperature [tex]\( x \)[/tex].
- Therefore, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
2. Adjustment for Yeast:
- Kevin needs to lower the oven's temperature by 44 degrees to create a suitable environment for yeast.
- This means the adjusted oven temperature is [tex]\( 2x - 44 \)[/tex].
3. Yeast Growth Range:
- Yeast thrives between [tex]\( 90^{\circ} F\)[/tex] and [tex]\( 95^{\circ} F\)[/tex].
With these details, you can set up an inequality based on the adjusted oven temperature:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
This inequality ensures that the adjusted oven temperature is within the optimal range for yeast activity.
Now, let's check which option correctly represents this inequality:
- Option B: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
This matches our setup, so Option B correctly represents the situation.
Thus, the proper inequality for this situation is:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex] which is Option B.
1. Initial Condition:
- The initial temperature of the oven is twice the room temperature. Let's call the room temperature [tex]\( x \)[/tex].
- Therefore, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
2. Adjustment for Yeast:
- Kevin needs to lower the oven's temperature by 44 degrees to create a suitable environment for yeast.
- This means the adjusted oven temperature is [tex]\( 2x - 44 \)[/tex].
3. Yeast Growth Range:
- Yeast thrives between [tex]\( 90^{\circ} F\)[/tex] and [tex]\( 95^{\circ} F\)[/tex].
With these details, you can set up an inequality based on the adjusted oven temperature:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
This inequality ensures that the adjusted oven temperature is within the optimal range for yeast activity.
Now, let's check which option correctly represents this inequality:
- Option B: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
This matches our setup, so Option B correctly represents the situation.
Thus, the proper inequality for this situation is:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex] which is Option B.