Question

an experiment was conducted that recorded the weight of a new bar of soap after each use. the line of best fit for the data collected is y = - 5.6x + 123, where y is the weight of the bar of soap, in grams, and x is the number of times that the bar was used. which statement describes the meaning of the y - intercept for the line of best fit equation? the weight of the new bar of soap was 123 grams. after 123 uses, the weight of the bar of soap was 5.6 grams. after every 123 uses, the weight of the bar of soap decreased by 5.6 grams. the weight of the bar of soap decreased by an average of 5.6 grams after each use.

Explanation:

The equation of a line is $y = mx + b$, where $b$ is the $y$-intercept. In the given equation $y=-5.6x + 123$, when $x = 0$ (i.e., the soap is new and has not been used), $y=123$. So, 123 represents the initial weight of the new bar of soap.

Answer:

The weight of the new bar of soap was 123 grams.