Question

A factory manufactures pipes that should have an ideal length, represented by 0 on the number line. The quality manager at the factory measures two random pipes, pipe X and pipe Y, from each batch daily. In the first batch today, pipe X had a length that was 0.2 cm less than the ideal length. The difference between the lengths of pipe X and pipe Y was 0.6 cm. Plot all the points on the number line that could represent the length of pipe Y compared to the ideal length.

Answer 1

The value of Y is either 0.8 cm less than the ideal length or 0.4 cm more than the ideal length.

Y = - 0.8 cm or Y = +0.4 cm

Explanation:

ideal length = 0

X = - 0.2 cm

|X - Y| = 0.6 cm

X - Y = 0.6 or X - Y = - 0.6

X - Y = 0.6

-0.2 - Y = 0.6

-Y = 0.6 + 0.2

Y = -0.8 cm

Or

X - Y = -0.6

-0.2 - Y = -0.6

-Y = -0.6+0.2 = -0.4

Y = 0.4 cm

The plot of the possible points on the number line that Y could be, is attached to this solution.

It is evident that the value of Y is either 0.8 cm less than the ideal length or 0.4 cm more than the ideal length.

Hope this Helps!!!