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## (a) Show that the data are linear. The difference in pounds of ice from 12:00 P.M. to 1:00 P.M. is  , the difference from 1:00 P.M. to 2:00 P.M. is  and the difference from 2:00 P.M. to 3:00 P.M. is  . Because these values are all  —Select— different the same , the function is linear. (b) Let t denote the time in hours since noon, and let I denote the pounds of ice made. Find a linear model for I as a function of t. I =        (c) If 675 pounds of ice will be needed for the game tonight, will the ice machine produce enough ice by game time? YesNo

Our ice machine is making ice in preparation for the game that starts at 7:00 P.M. The machine is monitored, and the amount of ice is recorded at the end of each hour. The results are in the table below.

 Time Poundsof ice 12:00 P.M. 1:00 P.M. 2:00 P.M. 3:00 P.M. 200 264 328 392
(a) Show that the data are linear.

The difference in pounds of ice from 12:00 P.M. to 1:00 P.M. is  , the difference from 1:00 P.M. to 2:00 P.M. is  and the difference from 2:00 P.M. to 3:00 P.M. is  . Because these values are all  —Select— different the same , the function is linear.

(b) Let t denote the time in hours since noon, and let I denote the pounds of ice made. Find a linear model for I as a function of t.

I =

(c) If 675 pounds of ice will be needed for the game tonight, will the ice machine produce enough ice by game time?

YesNo
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