Pentagon opqrs is shown on the coordinate plane below: if pentagon opqrs is dilated by a scale factor of 7/4 from the origin to create o'p'q'r's', what is the ordered pair of point q'? (−3.5, −8.75) (−0.75, −0.5) (−5.25, −3.5) (−2.33, −3.5)

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

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.