At t = 0, the outside temperature was 32 degrees Fahrenheit (t is in hours). During the first 8 hours, the temperature was increasing at a constant rate of 3 degrees per hour and after that, the temperature was increasing at a constant rate of 4 degrees per hour. (a) Find a formula for the piecewise-defined function T(t), the temperature at time t. T(t) = 32+3t if 0 ≤ t ≤ 8 56+4t if t > 8 (b) Find the temperature after 10 hours. 64°
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At t = 0, the outside temperature was 32 degrees Fahrenheit (t is in hours). During the first 8 hours, the temperature was increasing at a constant rate of 3 degrees per hour and after that, the temperature was increasing at a constant rate of 4 degrees per hour.
(a) Find a formula for the piecewise-defined function T(t), the temperature at time t.
T(t) =
32+3t
|
if | 0 ≤ t ≤ 8 |
56+4t
|
if | t > 8 |
(b) Find the temperature after 10 hours.
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