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Grade 11 Exponents CCSS: HSF-LE.A.4
After a power failure, a computer's internal temperature begins to rise in the non-air-conditioned server room. The temperature increase can be modeled by the function [math]T(t)=T_s−(T_s−T_0)e^−t/k[/math], which can be rearranged into an exponential form. The room temperature ([math]T_s[/math]) is 90°F. The computer was at a safe temperature of 60°F when the power failed (t=0) and had risen to 75°F after 15 minutes. The system will automatically shut down if its core temperature reaches 88°F. How long after the power failure will the system shut down?
- 52 minutes
- 61 minutes
- 74 minutes
- 84 minutes
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