Question

1. A hot piece of meat is removed from an oven and its surface temperature

is given by the formula S(t) = 72 +238•0.97^t, in degrees Fahrenheit, at time t
minutes after it was removed.
(a) What was the initial surface temperature of the meat?

I am not understanding how to do this at all could someone please help me & show the work for it??

Answer 1

`310 ^\circ F`

Explanation:

The formula relating surface temperature in °F and time in t minutes after removal from the oven is given as

`S(t)= 72 + 238 (0.97^t)\\\\\text{The initial temperature is when t = 0}\\\\\text{At t = 0}\\\\S(0) = 72 + 238(0.97^0)\\\\0,97^0 = 1 \text{ since any number raised to 0 = 1}\\\\\text{Therefore}\\S(0) = 72 + 238 \cdot 1\\= 72 + 238\\\\= 310 ^\circ F`