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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.

Absolute value inequality: [tex] |T - 107.5| \leq 2.5 [/tex]

Sagot :

GinnyAnswer
To model the situation with an absolute value inequality, consider that the ideal temperature for proofing yeast is 107.5°F, with a variation of 2.5°F. We can write the absolute value inequality as:

[tex]\[ |T - 107.5| \leq 2.5 \][/tex]

This inequality means that the temperature \( T \) can vary by 2.5°F from the ideal temperature of 107.5°F.

To find the range of acceptable temperatures, we need to calculate the lower and upper bounds:
1. The lower bound is:
[tex]\[ 107.5 - 2.5 = 105.0 \][/tex]
2. The upper bound is:
[tex]\[ 107.5 + 2.5 = 110.0 \][/tex]

Therefore, yeast will proof in temperatures that are at least 105.0°F and at most 110.0°F degrees.
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