Question

over several years, stephon gathered data about his age and the time it took him to run two laps on the school track. the scatter plot shows the data he gathered and the line of best fit. the equation of the line of best fit is ( y = - 2.1x + 565.6 ). based on the line of best fit, approximately how long will it take stephon to run two laps on the track when he is 192 months old? a. 163 seconds b. 170 seconds c. 178 seconds d. 185 seconds

Explanation:

Step1: Substitute the value of \(x\) (age) into the equation

Given the equation \(y = - 2.1x+565.6\) and \(x = 192\).
Substitute \(x = 192\) into the equation: \(y=-2.1\times192 + 565.6\).

Step2: Calculate \(-2.1\times192\)

\(-2.1\times192=-403.2\).

Step3: Calculate \(y\)

\(y=-403.2 + 565.6\).
\(y = 162.4\approx163\) (rounded to the nearest whole number).

Answer:

A. 163 seconds