Answer :
Certainly! Let's work through this problem step by step to find the correct inequality.
1. Understanding the Temperatures:
- Let's assume the temperature of the room is [tex]\( x \)[/tex] (in degrees Fahrenheit).
- The initial temperature of the oven is twice the room temperature, which is [tex]\( 2x \)[/tex].
2. Adjusting the Oven Temperature:
- Kevin decreases the temperature of the oven by [tex]\( 44^{\circ} F \)[/tex].
- Therefore, the new temperature of the oven becomes [tex]\( 2x - 44 \)[/tex].
3. Yeast's Thriving Temperature Range:
- Yeast thrives within the temperature range of [tex]\( 90^{\circ} F \)[/tex] to [tex]\( 95^{\circ} F \)[/tex].
- This means that the oven's temperature should satisfy the condition: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
4. Formulating the Inequality:
- So the inequality that represents the situation where the temperature is adjusted correctly for the yeast to thrive is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
Therefore, the correct inequality representing this situation is:
[tex]\[
\text{Option D: } 90 \leq 2x - 44 \leq 95
\][/tex]
This shows that the temperature range of the oven, after adjustment, falls within the optimal range for yeast growth.
1. Understanding the Temperatures:
- Let's assume the temperature of the room is [tex]\( x \)[/tex] (in degrees Fahrenheit).
- The initial temperature of the oven is twice the room temperature, which is [tex]\( 2x \)[/tex].
2. Adjusting the Oven Temperature:
- Kevin decreases the temperature of the oven by [tex]\( 44^{\circ} F \)[/tex].
- Therefore, the new temperature of the oven becomes [tex]\( 2x - 44 \)[/tex].
3. Yeast's Thriving Temperature Range:
- Yeast thrives within the temperature range of [tex]\( 90^{\circ} F \)[/tex] to [tex]\( 95^{\circ} F \)[/tex].
- This means that the oven's temperature should satisfy the condition: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
4. Formulating the Inequality:
- So the inequality that represents the situation where the temperature is adjusted correctly for the yeast to thrive is:
[tex]\[
90 \leq 2x - 44 \leq 95
\][/tex]
Therefore, the correct inequality representing this situation is:
[tex]\[
\text{Option D: } 90 \leq 2x - 44 \leq 95
\][/tex]
This shows that the temperature range of the oven, after adjustment, falls within the optimal range for yeast growth.