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------------------------------------------------ The temperature, [tex]F[/tex], in degrees Fahrenheit, after [tex]t[/tex] hours of a roast put into an oven is given by the equation [tex]F = 325 - 185e^{-0.4t}[/tex].

What was the temperature of the roast when it was put into the oven?

(1) 325
(2) 200
(3) 185
(4) 2018

To find the temperature of the roast when it was put into the oven, we need to use the given equation:

[tex] F = 325 - 185e^{-0.4t} [/tex]
In oven cook well done allow 25-30 minutes per 500g of meat, so, time (t) = 30 minutes.
Now
Substitute [tex] t = 30 [/tex] into the equation:

[tex] F = 325 - 185e^{-0.4 \times 30} [/tex]

Now, let's calculate the value of [tex] e^{-0.4 \times 30} [/tex]:

[tex] e^{-0.4 \times 30} = e^{-12} [/tex]

Now, compute the value of [tex] e^{-12} [/tex]:

[tex] e^{-12} \approx 6.14421235 \times 10^{-6} [/tex]

Now, substitute the value of [tex] e^{-12} [/tex] back into the equation:

[tex] F = 325 - 185 \times 6.14421235 \times 10^{-6} [/tex]

[tex] F = 325 - 0.001136679285 [/tex]

[tex] F \approx 324.9988633 [/tex]
[tex] F \approx 325 \textsf{(in nearest whole number)}[/tex]

So, the temperature of the roast when it was put into the oven was:

1) 325 °F