The perimeter of the parallelogram shown is 244 inches. The difference between the lengths of the sides is 20 inches. Assuming 2x+3y is the longest side, find the length of each side.

A. 16 inches, 13 inches
B. 66 inches, 56 inches
C. 71 inches, 51 inches
D. 74 inches, 54 inches

she will travel a distance in the range of 3 - 11 miles

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.

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