Answer:
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.
