Pizza is too hot for Teen to Handle
The rate at which the pizza's temperature decreases is given. In order to solve for when the pizza reaches a certain temperature, we first need to find the equation for the temperature of the pizza.
The formula for the temperature after the pizza in terms of time since the pizza is removed from the oven is equal to the initial temperature minus the integral of the rate of cooling from the initial time (0 second) to the final time (t seconds).
Plug in the initial temperature and the formula for rate. Take the integral in the problem and solve for the temperature equation
Set the temperature equation equal to 145 degrees F and solve for what time the pizza will be this temperature. The final answer is 346.7 seconds or about 5.8 minutes.
So Hot!!!!!
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