At 7:00am, Alicia pours a cup of tea whose temperature is 200 degrees. The tea starts to cool to a room temperature of 72 degrees. An exponential model for the temperature of the tea is y = 128(0.988)^x+ 72, where y is the temperaturex minutes after 7:00 amwill tea when its temperature x is minutws after 7:00am. Alicia will drink the tea when its temperature is 170 degrees. When can Alicia drink the tea?

At 7:00am, Alicia pours a cup of tea whose temperature is 200 degrees. The tea starts to cool to a room temperature of 72 degrees. An exponential model for the temperature of the tea is y = 128(0.988)^x+ 72, where y is the temperaturex minutes after 7:00 amwill tea when its temperature x is minutws after 7:00am. Alicia will drink the tea when its temperature is 170 degrees. When can Alicia drink the tea?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 4RE: Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it...

See similar textbooks

Similar questions

A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
What happens to an exponential function as the values of x decreases? Will the graph ever cross the y -axis? Explain.
Explain how you can distinguish between exponential functions and polynomial functions.
Mouse populations can double in 8 months (A=2A0) . How long will it take for a mouse population to triple?
Determine whether the function y=156(0.825)t represents exponential growth exponential decay, orneither. Explain
Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.
Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?
In the year 1985, a house was valued at 110,000. Bythe year 2005, the value hadappreciated to 145,000. What was the annual growth rate between 1985 and 2005 ? Assume that the value continued to grow by thesame percentage. What was the value of the house inthe year 2010 ?
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
What is the difference between the equation for exponential growth versus the equation for exponential decay?
How can an exponential equation be solved?