Question

Select the correct answer. The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used to find the minimum and maximum radii accepted? (Assume r represents the actual radius of any given ball bearing.)

A. |r − 1.25| = 0.1
B. |1.25r − 1.25| = 0.1
C. |r − 0.1| = 1.25
D. |r − 0.1r| = 1.25

Answer 1

The equation to find the minimum and maximum accepted radii of the ball bearings is |r - 1.25| = 0.1.

Step-by-step explanation:

In this question, we are given that the radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. To find the minimum and maximum radii accepted, we need to consider the range of values within the tolerance. Since the tolerance is 0.1 centimeter, the minimum accepted radius would be 1.25 - 0.1 = 1.15 centimeters and the maximum accepted radius would be 1.25 + 0.1 = 1.35 centimeters.

Therefore, the correct equation to find the minimum and maximum radii accepted is |r - 1.25| = 0.1. This equation represents the absolute value of the difference between the actual radius (r) and the desired radius (1.25), which should be equal to the tolerance of 0.1 centimeter.