Answer :
To solve this problem, we need to figure out which inequality correctly represents the situation described.
1. Understand the problem:
- The initial temperature of the oven is twice the room temperature. Let's denote the room temperature as [tex]\( x \)[/tex].
- The oven temperature after being decreased by 44 degrees should be suitable for yeast growth, which is between 90°F and 95°F.
2. Set up the situation mathematically:
- Initial oven temperature is [tex]\( 2x \)[/tex].
- After reducing the temperature by 44°F, the oven temperature becomes [tex]\( 2x - 44 \)[/tex].
3. Write the inequality to cover the range for yeast growth:
- The resulting oven temperature should be between 90°F and 95°F, so the inequality is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
This inequality ensures that after reducing the oven temperature by 44 degrees, it still falls within the optimal range for yeast growth.
Therefore, the correct choice is D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
1. Understand the problem:
- The initial temperature of the oven is twice the room temperature. Let's denote the room temperature as [tex]\( x \)[/tex].
- The oven temperature after being decreased by 44 degrees should be suitable for yeast growth, which is between 90°F and 95°F.
2. Set up the situation mathematically:
- Initial oven temperature is [tex]\( 2x \)[/tex].
- After reducing the temperature by 44°F, the oven temperature becomes [tex]\( 2x - 44 \)[/tex].
3. Write the inequality to cover the range for yeast growth:
- The resulting oven temperature should be between 90°F and 95°F, so the inequality is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
This inequality ensures that after reducing the oven temperature by 44 degrees, it still falls within the optimal range for yeast growth.
Therefore, the correct choice is D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].