Question

what is the meaning of the y - intercept?
the weight in the bucket
increases by 1 pound per
pound of sand.
the weight in the bucket
decreases by 1 pound per
pound of sand.
before sand is put in the
bucket, it weighs 1 pound.
the starting weight of the
sand is 1 pound.

Explanation:

Step1: Recall the concept of y - intercept

The y - intercept of a linear function \(y = mx + b\) (in the context of a real - world relationship like weight of bucket \(y\) and amount of sand \(x\)) is the value of \(y\) when \(x = 0\).

Step2: Interpret \(x = 0\) in the context

When \(x=0\) (i.e., before sand is put in the bucket), \(y=b\).

Answer:

Before sand is put in the bucket, it weighs 1 pound.