Answer :
Let's work through the problem step-by-step to find the correct inequality.
1. Understand the Problem:
- We are given that the initial temperature of the oven is twice the room temperature, [tex]\( 2x \)[/tex].
- Kevin decreases this temperature by [tex]\( 44^\circ F \)[/tex] to facilitate yeast growth.
- The yeast thrives within the temperature range of [tex]\( 90^\circ F \)[/tex] to [tex]\( 95^\circ F \)[/tex].
2. Set Up the Inequality:
- After decreasing the initial oven temperature by [tex]\( 44^\circ F \)[/tex], the temperature should be between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
3. Formulate the Inequality:
- The expression for the temperature after the decrease is [tex]\( 2x - 44 \)[/tex].
- We need [tex]\( 2x - 44 \)[/tex] to be at least [tex]\( 90^\circ F \)[/tex] and at most [tex]\( 95^\circ F \)[/tex].
4. Write the Inequality:
- [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
5. Choose the Correct Answer:
- The inequality we formed is [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex], which matches option D.
Therefore, the correct answer is D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
1. Understand the Problem:
- We are given that the initial temperature of the oven is twice the room temperature, [tex]\( 2x \)[/tex].
- Kevin decreases this temperature by [tex]\( 44^\circ F \)[/tex] to facilitate yeast growth.
- The yeast thrives within the temperature range of [tex]\( 90^\circ F \)[/tex] to [tex]\( 95^\circ F \)[/tex].
2. Set Up the Inequality:
- After decreasing the initial oven temperature by [tex]\( 44^\circ F \)[/tex], the temperature should be between [tex]\( 90^\circ F \)[/tex] and [tex]\( 95^\circ F \)[/tex].
3. Formulate the Inequality:
- The expression for the temperature after the decrease is [tex]\( 2x - 44 \)[/tex].
- We need [tex]\( 2x - 44 \)[/tex] to be at least [tex]\( 90^\circ F \)[/tex] and at most [tex]\( 95^\circ F \)[/tex].
4. Write the Inequality:
- [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex]
5. Choose the Correct Answer:
- The inequality we formed is [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex], which matches option D.
Therefore, the correct answer is D: [tex]\( 90 \leq 2x - 44 \leq 95 \)[/tex].
