4) AR.6B Becky is constructing a tabletop in the shape of a rectangle. The length of the tabletop will be 3 inches longer than twice
the width of the tabletop. She calculated the perimeters for rectangles with widths of 4, 8, 12,24,28, and 32 inches

Based on the table created from the Linear function f(x) which describes a rectangle with a perimeter of 108 inches?

the one below it is a function

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

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.