Question

A pizza baked at 450°F is removed from the oven and placed in a room that is a constant 75°F. A function that models the temp of the pizza is T (m) = 375(0.6)^ m/5 + 75, where m is the number of minutes after the pizza is removed from the oven and T is the temperature of the pizza in °F. Which statement best describes the temperature of the pizza as the time increases? •As m increases,the temp of the pizza increases at a slower rate and gets closer to 450°F•As m increases, the temp of the pizza decreases at a faster rate and gets closer to 375°F •As m increases, the temp of the pizza decreases at a slower rate and gets closer to 375°F •As m increases,the temp of the pizza decreases at a faster rate and gets closer to 75°F •As m increases, the temp of the pizza decreases at a slower rate and gets closer to 75°F •As m increases, the temp of the pizza increases at a faster rate and gets closer to 450°F

Answer 1

Here, given the equation, we want to get the best statement that describes the temperature of the pizza as time increases

Now, as the time increase, what changes will be the ratio of m/5

Now, as we have an increase in the value of m, whereby the number of minutes increases, the value of m/5 will also increase

Thus, what this will yield is a continuous decrease in the temperature of the pizza

Now, the reason for this is because, the power is that of a decimal

For a decimal, the greater the power, the lesser the value

And thus,with this, there will be a continuous decrease in the value of the product of 375 and the given decimal

Thus, with the continuous increase in m, the power will be closer to zero

At a point in time, the product will give 0 and by adding 75, we will have the temperature of the pizza being equal to the temperature of the room

So, the correct answer here is that;