Question

At 6 am alicia pours a cup of tea whose temperature is 200 F. the tea starts to cool to room temperature (72 F). An exponential model for the temperature of the tea is y=128(0.988)^x +72. where y is the temperature and x minutes after 6:00 am alicia will drink the tea when its temperature is 115 F. When can alicia drink the tea?
PLEASE HELP

Answer 1

Answer:

7:30 AM

Step-by-step explanation:

y = 128(0.988)ˣ + 72

115 = 128(0.988)ˣ + 72

43 = 128(0.988)ˣ

0.336 = 0.988ˣ

log 0.336 = x log 0.988

x = 90.4

Rounded to the nearest minute, Alicia will drink the tea 90 minutes after 6:00 AM, or 7:30 AM.