Question

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 stephan to run two laps on the track when he is 192 months old? a. 163 seconds b. 170 seconds c. 176 seconds d. 185 seconds

Explanation:

Step1: Identify the given values

The equation of the line of best - fit is $y=-2.1x + 565.6$, and $x = 192$ (age in months).

Step2: Substitute the value of $x$ into the equation

Substitute $x = 192$ into $y=-2.1x + 565.6$. So, $y=-2.1\times192+565.6$.
First, calculate $-2.1\times192=-403.2$.
Then, $y=-403.2 + 565.6$.

Step3: Calculate the value of $y$

$y=-403.2+565.6 = 162.4\approx162$ seconds.

Answer:

A. 162 seconds