Danica conducts a science experiment with a mixture that freezes at temperatures of -20°F and below. Danica wants to cool this mixture down, but does not want it to
freeze
She puts the mixture into a freezer that will lower its temperature by 3.5°F
every hour
• When she puts the mixture into the freezer, its temperature is 22°F.
Which inequality matches how long, in h hours, Danica could leave this mixture in the
freezer before it starts to freeze?

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.