Question

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 radii of ball bearings is |r - 1.25| = 0.1, where 'r' is the actual radius. The minimum accepted radius is 1.15 cm and the maximum is 1.35 cm.

Step-by-step explanation:

To find the minimum and maximum radii accepted for ball bearings with a nominal radius of 1.25 centimeters and a tolerance of 0.1 centimeter, we can use the concept of absolute value equations.

The equation must accommodate radii that are both above and below the nominal value by up to 0.1 cm.

The correct equation would be |r - 1.25| = 0.1. This means the actual radius r can deviate up to 0.1 cm from the nominal radius of 1.25 cm. To find the minimum radius, we subtract 0.1 cm from 1.25 cm, giving us 1.15 cm.

To find the maximum radius, we add 0.1 cm to 1.25 cm, resulting in 1.35 cm.