A 94 kg lumberjack stands on a 1200 kg log in a pool of water. Initially, the lumberjack and the log are at rest. The lumberjack then starts jogging toward shore along the length of the log. If the lumberjack's speed relative to the shore is 2.2 m/s, what is the log's speed relative to the shore?

d

step-by-step explanation:

d

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.