High School

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 90° F to 95° F. So to facilitate yeast growth, Kevin decreases the temperature of the oven by 44° F.

Which inequality represents the given situation?

A. \( 90 \leq 2x - 44 \leq 95 \)

B. \( 90 \leq 2x + 44 \leq 95 \)

C. \( 90 \geq 2x - 44 \leq 95 \)

D. \( 90 \geq 2x + 44 \leq 95 \)

Answer :

The correct inequality representing Kevin’s oven temperature situation is A. 90 ≤ 2x - 44 ≤ 95. This inequality accounts for the yeast thriving temperature range of 90°F to 95°F after decreasing the oven's initial temperature by 44°F.

We are given the problem of identifying the correct inequality. Let’s define the variables and set up the inequalities.

Let x be the room temperature. The initial temperature of the oven is twice the room temperature, thus it is 2x. When Kevin decreases the temperature by 44° F, the temperature becomes 2x - 44° F.

Given that the yeast thrives between 90° F and 95° F, we can write the inequality as:

90 ≤ 2x - 44 ≤ 95

Thus, the correct answer is:

A. 90 ≤ 2x − 44 ≤ 95

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