Suppose a pizza is removed from an oven at 400°F into a kitchen whose temperature is a constant 76°F. Three minutes later the temperature of the pizza is found to be 267°F. (Round your answers to two decimal places.)

(a) What is the temperature

T (t)

of the pizza after 5 minutes?

T (5) =

(b) Determine the time when the temperature of the pizza is 150°F.

min

(c) After a very long period of time, what is the approximate temperature of the pizza?

°F

A. 178.35°F

B. ≅ 5.64 minutes or 5 minutes 38 seconds approximately

C. 76°F.

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Temperature of the pizza in the oven = 400°F

Temperature of the kitchen = 76°F constantly

Temperature of the pizza after 3 minutes = 267°F

2. A. What is the temperature T (t) of the pizza after 5 minutes?

We will use the ratio of how much degrees the temperature of the pizza decreases per minute, this way:

Ratio = (Temperature of the pizza in the oven - Temperature of the pizza after 3 minutes) / Minutes

Ratio = (400 - 267) / 3 = 133/3 = 44.33 (Rounding to two decimal'places)

It means that the temperature of the pizza diminishes 44.33°F per minute.

Therefore, the temperature T (t) of the pizza after 5 minutes, will be:

T (5) = 400 - (44.33 * 5) = 400 - 221.65 = 178.35°F

B. Determine the time when the temperature of the pizza is 150°F.

min.

Time when the pizza is 150°F = (400 - 150) / 44.33 = 250/44.33 = 5.64 minutes or 5 minutes 38 seconds approximately

C. After a very long period of time, what is the approximate temperature of the pizza? It will be the temperature of the kitchen, 76°F.