Answer :
To solve the problem, we need to express the situation with an inequality that describes the temperature range suitable for yeast growth after adjusting the oven's initial temperature.
1. Understand the initial condition:
- The oven's initial temperature is twice the room temperature, so it can be written as [tex]\( 2x \)[/tex], where [tex]\( x \)[/tex] is the room temperature.
2. Adjustment:
- Kevin decreases the temperature by [tex]\( 44^\circ F \)[/tex]. So, the new oven temperature becomes [tex]\( 2x - 44 \)[/tex].
3. Condition for yeast growth:
- Yeast thrives between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex]. Therefore, the new temperature must satisfy the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
4. Verify the inequality:
- We want to ensure that after reducing the oven temperature by [tex]\( 44^\circ F \)[/tex], it lies between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
By analyzing these steps, the inequality representing the situation is:
[tex]\[
D. \quad 90 \leq 2x - 44 \leq 95
\][/tex]
Therefore, the correct answer is D.
1. Understand the initial condition:
- The oven's initial temperature is twice the room temperature, so it can be written as [tex]\( 2x \)[/tex], where [tex]\( x \)[/tex] is the room temperature.
2. Adjustment:
- Kevin decreases the temperature by [tex]\( 44^\circ F \)[/tex]. So, the new oven temperature becomes [tex]\( 2x - 44 \)[/tex].
3. Condition for yeast growth:
- Yeast thrives between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex]. Therefore, the new temperature must satisfy the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
4. Verify the inequality:
- We want to ensure that after reducing the oven temperature by [tex]\( 44^\circ F \)[/tex], it lies between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
By analyzing these steps, the inequality representing the situation is:
[tex]\[
D. \quad 90 \leq 2x - 44 \leq 95
\][/tex]
Therefore, the correct answer is D.
