Question

suppose the cooking time for a particular recipe varies inversely with the temperature of the oven. if the recipe takes 60 minutes to cook at a temperature of 350 degrees, how many minutes would it take at 200 degrees

Answer 1

Answer:

It would take 34.29 minutes at 200 degree.

Step-by-step explanation:

Given that,for a particular recipe the cooking time(t) varies inversely with the temperature(T) of the oven.

t∝T

$\therefore \frac{t_1}{t_2}=\frac{T_1}{T_2}$

The recipe takes 60 minutes to cook at a degree temperature of 350 degree,

t₁= 60 minutes, T₁= 350 degree, t₂=?, T₂=200 degree.

$\therefore \frac{t_1}{t_2}=\frac{T_1}{T_2}$

$\frac{60}{t_2}=\frac{350}{200}$

$\Rightarrow t_2\times 350=200\times 60$

$\Rightarrow t_2=\frac{200\times 60}{350}$

$\Rightarrow t_2\approx 34.29$

It would take 34.29 minutes at 200 degree.