Question

the equation for the line of best fit is ( y = -2x + 49 ). according to the equation, which of these statements is true? a swimmer who just joined the team would likely have a best time of about 49 seconds. a swimmer who has been on the team for 2 years would likely have a best time of about 49 seconds.

Explanation:

Step1: Analyze the equation \(y = - 2x+49\)

The equation is in slope - intercept form \(y = mx + b\), where \(m=-2\) (slope) and \(b = 49\) (y - intercept). The \(y\) - intercept is the value of \(y\) when \(x = 0\).

Step2: Substitute \(x\) values

When \(x = 0\) (a swimmer who just joined the team), \(y=-2\times0 + 49=49\). When \(x = 2\) (a swimmer who has been on the team for 2 years), \(y=-2\times2+49=-4 + 49 = 45\)

Answer:

A. A swimmer who just joined the team would likely have a best time of about 49 seconds.