Exam 5: Growth and Decay: An Introduction to Exponential Functions

Given the functions: F(x) = 45 (4.9)^x G(x) = 10 + 0.81x H(x) = 75 (0.91)^x K(x) = 28.3 - 5.5x As , which function(s) approach ? Select all that apply.

The half-life of Flourine 20 is 11 seconds. If a sample initially contains 2,200 atoms, how long would it take for the sample to decay to 275 atoms?

A city has a growth factor of 1.16 every 7 years. If the population is currently 80,726, construct a function to describe the city's population each year. Round each part of the answer to 3 decimal places if necessary.

The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life.

Frank borrowed money from his older sister. They agreed to terms where Frank would pay off 9% of the remaining balance every month. How long will it take for Frank to reduce the balance to 1/2 of the original amount? Use the rule of 70 and round to the nearest month.

The price of a new car increases by 19% every 6 years. How much would a car that sells for $24,474 today, sell for in 9 years? Round to the nearest penny.