2[6+4{m-6(7-n-p)+q}]​

Step-by-step explanation:

2[6 + 4{m – 6(7 – (n + p bar)) + q}]

= 2[6 + 4{m – 6 (7 – n – p) + q}]

= 2[6 + 4 {m – 42 + 6n + 6p + q}]

= 2[6 + 4m – 168 + 24n + 24p + 4q]

= 2[4m + 24n + 24p + 4q – 162]

= 8m + 48n + 48p + 8q – 32

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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