Question

Judy works at a candy factory that makes Sugar Rush candy bars. She is in charge of quality control and has to make sure each candy bar has the correct mass. Each candy bar is required to weigh 12 grams, with a tolerance of 0.45 grams. What is the acceptable weight range for each candy bar?

1. Define a variable for this situation.
2. Write the absolute value inequality that describes the acceptable weight range for each candy bar.
3.Solve the absolute value inequality to find the acceptable weight range for each candy bar using numbers and symbols.
4. Using words, describe the possible acceptable weight range for each candy bar.

Answer 1

Explanation:

1. x = acceptable weight of candy bar

2. |x - 12| ≤ 0.45

3. x - 12 ≤ 0.45, x - 12 ≥ -0.45

x ≤ 12.45, x ≥ 11.55

4. The acceptable weight range for each candy bar is between 11.55 grams and 12.45 grams.