An experiment is underway to test the effect of extreme temperatures on a newly developed liquid. Two hours into the experiment the temperature of the liquid measured to be -17 degrees celsius. After eight hours of the experiment the temperature of the liquid is -47 degrees celsius. Assume that the temperature has been changing at a constant rate throughout the experiment and will continue to do so. Write and expression for this problem.

2 answers

went down 30 degrees in six hours
T = - (30/6) t + b = -5 t + b

-17 = -5 (2) + b
b = -7
so
T = -5 t - 7

check at 8 hours
T = -5(8) -7
T = -40 - 7
T = -47, yes, good
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