College

Kevin is baking bread for a family function. The initial temperature of the oven is twice the room temperature. He knows that yeast, a key ingredient, thrives within the temperature range of [tex]$90^{\circ} F$[/tex] to [tex]$95^{\circ} F$[/tex]. To facilitate yeast growth, Kevin decreases the temperature of the oven by [tex]$44^{\circ} F$[/tex].

Which inequality represents the given situation?

A. [tex]$90 \geq 2x + 44 \leq 95$[/tex]

B. [tex]$90 \leq 2x - 44 \leq 95$[/tex]

C. [tex]$90 \geq 2x - 44 \leq 95$[/tex]

D. [tex]$90 \leq 2x + 44 \leq 95$[/tex]

Answer :

Let the room temperature be denoted by [tex]$x$[/tex]. Then:

1. The oven's initial temperature is twice the room temperature, so it is [tex]$2x$[/tex].
2. Kevin decreases the temperature by [tex]$44^\circ F$[/tex], making the final temperature
[tex]$$
2x - 44.
$$[/tex]
3. Since the ideal temperature for the yeast is between [tex]$90^\circ F$[/tex] and [tex]$95^\circ F$[/tex], we set up the inequality:
[tex]$$
90 \leq 2x - 44 \leq 95.
$$[/tex]

This represents the condition that after reducing the temperature by [tex]$44^\circ F$[/tex], the oven’s temperature must lie within the range [tex]$90^\circ F$[/tex] to [tex]$95^\circ F$[/tex].

Thus, the correct inequality is
[tex]$$
90 \leq 2x - 44 \leq 95.
$$[/tex]

This corresponds to option B.