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 acceptable weights for this engine.
Define a variable, set up an equation, and solve.

Answer 1

The acceptable weight range for the model airplane engine is between 33.81 and 33.91 ounces, with the variable x representing the actual engine weight.

Step-by-step explanation:

The question involves determining the acceptable range of weights for a model airplane engine, where the ideal weight is 33.86 ounces and the variance allowed is ±0.05 ounces. To find the range of acceptable weights, we define a variable x to represent the actual weight of the engine. We set up an inequality to reflect the acceptable range of variance:

±0.05 ounces = Ideal weight ± Tolerance

33.86 ounces ±0.05 ounces = x

Thus, the inequalities defining the acceptable range are:

33.86 - 0.05 ≤ x ≤ 33.86 + 0.05

x ≤ 33.91 and 33.81 ≤ x

This means the engine weight must be between 33.81 ounces and 33.91 ounces to be considered within the acceptable range.