Answer :
To solve the problem, let's go through the scenario step-by-step:
1. Define Room Temperature:
Let [tex]\( x \)[/tex] be the room temperature.
2. Initial Oven Temperature:
The problem states that the initial temperature of the oven is twice the room temperature. Therefore, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
3. Adjustment to Oven Temperature:
Kevin decreases the oven temperature by [tex]\( 44^\circ F \)[/tex] to facilitate yeast growth. The new oven temperature can be described by the expression [tex]\( 2x - 44 \)[/tex].
4. Yeast Thriving Temperature Range:
The yeast thrives at a temperature range between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex]. Therefore, the new oven temperature needs to fall within this range.
5. Set up the Inequality:
To express this condition mathematically, we set up the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
This inequality ensures that the temperature after decreasing by [tex]\( 44^\circ F \)[/tex] will stay within the range where yeast thrives.
Therefore, the correct representation of the situation is option C:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
1. Define Room Temperature:
Let [tex]\( x \)[/tex] be the room temperature.
2. Initial Oven Temperature:
The problem states that the initial temperature of the oven is twice the room temperature. Therefore, the initial oven temperature can be expressed as [tex]\( 2x \)[/tex].
3. Adjustment to Oven Temperature:
Kevin decreases the oven temperature by [tex]\( 44^\circ F \)[/tex] to facilitate yeast growth. The new oven temperature can be described by the expression [tex]\( 2x - 44 \)[/tex].
4. Yeast Thriving Temperature Range:
The yeast thrives at a temperature range between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex]. Therefore, the new oven temperature needs to fall within this range.
5. Set up the Inequality:
To express this condition mathematically, we set up the inequality:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
This inequality ensures that the temperature after decreasing by [tex]\( 44^\circ F \)[/tex] will stay within the range where yeast thrives.
Therefore, the correct representation of the situation is option C:
[tex]\[ 90 \leq 2x - 44 \leq 95 \][/tex]
