Use the table to write a linear function that relates y to x.

y=-1/2x+8

Step-by-step explanation:

Linear function: y=kx+n

If x=0, y=k*0 +n=8, then n=8

if x=-4, y=k(-4)+8=6, then

-4k+8=6

-4k=6-8

-4k=-2

k=-2/(-4)

k=1/2

y=1/2x+8

Really: if x=-2, y=1/2*(-2)+8=-1+8=7

correct answer is c. just did it

step-by-step explanation:

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.