Question

type the correct answer in each box. use numerals instead of words.
the ideal temperature for proofing yeast for baking is 107.5°f. however, yeast will proof within a variation of 2.5°f. write an absolute value inequality to model this situation, and then use the inequality to complete the statement.

yeast will proof in temperatures that are at least °f and at most °f degrees.

Explanation:

Step1: Define the variable

Let \( t \) be the temperature at which yeast proofs. The ideal temperature is \( 107.5^\circ\text{F} \) and the variation is \( 2.5^\circ\text{F} \). The absolute value inequality for the variation is \( |t - 107.5| \leq 2.5 \).

Step2: Solve for the minimum temperature

To find the minimum temperature, solve \( t - 107.5 \geq - 2.5 \). Adding \( 107.5 \) to both sides: \( t \geq 107.5 - 2.5 = 105 \).

Step3: Solve for the maximum temperature

To find the maximum temperature, solve \( t - 107.5 \leq 2.5 \). Adding \( 107.5 \) to both sides: \( t \leq 107.5 + 2.5 = 110 \).

Answer:

105, 110