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. 3:00 P.M 1:00 P.M. 2:00 P.M. Time 12:00 P.M. Pounds 368 436 504 300 of ice (a) Show that the data are linear. the difference from 1:00 P.M. to The difference in pounds of ice from 12:00 P.M. to 1:00 P.M. is 68 T and the difference from 2:00 P.M. to 3:00 P.M. is 68 . Because these 2:00 P.M. is 68 the function is linear. values are all the same (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 =
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. 3:00 P.M 1:00 P.M. 2:00 P.M. Time 12:00 P.M. Pounds 368 436 504 300 of ice (a) Show that the data are linear. the difference from 1:00 P.M. to The difference in pounds of ice from 12:00 P.M. to 1:00 P.M. is 68 T and the difference from 2:00 P.M. to 3:00 P.M. is 68 . Because these 2:00 P.M. is 68 the function is linear. values are all the same (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 =
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Transcribed Image Text: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.
3:00 P.M
1:00 P.M.
2:00 P.M.
Time
12:00 P.M.
Pounds
368
436
504
300
of ice
(a) Show that the data are linear.
the difference from 1:00 P.M. to
The difference in pounds of ice from 12:00 P.M. to 1:00 P.M. is
68
T
and the difference from 2:00 P.M. to 3:00 P.M. is 68
. Because these
2:00 P.M. is 68
the function is linear.
values are all the same
(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 =
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