Answer:
The equation of the linear function that best fits the data is,
<em>y</em> = 18.66<em>x</em> + 66.87.
Step-by-step explanation:
The line of best is of the form: <em>y</em> = <em>mx</em> + <em>b</em>.
Here, <em>m</em> = slope of the line and <em>b</em> = intercept.
The formula to compute the intercept and slope are:


Consider the table below for the values of <em>∑ X, ∑ Y, ∑ X² </em>and <em>∑ XY</em>.
Compute the value of intercept and slope as follows:


The line of best fit is:

Thus, the equation of the linear function that best fits the data is <em>y</em> = 18.66<em>x</em> + 66.87.
Answer:
Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Step-by-step explanation:
Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:
Climb: 1.5 km / h
Descent: 2 x 1.5 km / h = 3 km / h
Climb: 9 km / 1.5 km / h = 6 hours
Descent: 9km / 3 km / h = 3 hours
Total: 9 hours
8 PM = 20:00
20:00 - 09:00 = 11:00
Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.