Question

The ideal weight of one type of model airplane engine is 33.86 ounces. The actual weight may vary from the ideal by at most 0.05 ounces. Find the range of the acceptable weights for this engine.

0.05 < x < 33.86
33.86 ≤ x ≤ 33.81
33.81 ≤ x ≤ 33.91
33.81 ≥ x ≥ 33.86

Answer 1

The range of acceptable weights for the model airplane engine is between 33.81 ounces and 33.91 ounces.

Step-by-step explanation:

The question asks us to find the range of acceptable weights for a model airplane engine whose ideal weight is 33.86 ounces with a permissible variation of ±0.05 ounces. To calculate the range of acceptable weights, we need to add and subtract the variation from the ideal weight. So, the lower limit of the range is 33.86 ounces - 0.05 ounces = 33.81 ounces, and the upper limit is 33.86 ounces + 0.05 ounces = 33.91 ounces. Therefore, the acceptable range of weights is between 33.81 ounces and 33.91 ounces, which can be represented by the inequality 33.81 ≤ x ≤ 33.91, where 'x' is the actual weight of the engine.