An object is heated to a temperature of $T{}^\circ\mathrm{C}$ before it is allowed to cool. The te

Question

An object is heated to a temperature of $T{}^\circ\mathrm{C}$ before it is allowed to cool. The temperature of the object when it is cooling for $t$ minutes can be modelled by $T = 23 + 15e^{-\frac{3}{5}t}$. Find the value of $t$ when $T = 30$.[2] Explain why the temperature of the object will never go below $23{}^\circ\mathrm{C}$.[1]

Accepted Answer

$t \approx 1.27$ mins

2023 ACSBR AM S3 EOY Q1

2023 ACSBR AM S3 EOY Q1

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