Clever 21:08 Wed Sep 1851%ixl.comAlgebra 2Z.9 Exponential growth and decay: word probleYou have prizes to reveall Go to your game board.VideoQuestionsansweredIn Booneville, the use of landlines has been declining at a rate of 20% every year. If there are 25,300 landlines this year, how many will there be in 5 years?29If necessary, round your answer to the nearest whole number.Timeelapsed003152HRMINSECSmartScoreout of 10065
Q. Clever 21:08 Wed Sep 1851%ixl.comAlgebra 2Z.9 Exponential growth and decay: word probleYou have prizes to reveall Go to your game board.VideoQuestionsansweredIn Booneville, the use of landlines has been declining at a rate of 20% every year. If there are 25,300 landlines this year, how many will there be in 5 years?29If necessary, round your answer to the nearest whole number.Timeelapsed003152HRMINSECSmartScoreout of 10065
Identify Initial Data: Identify the initial number of landlines and the annual decline rate. Initial landlines = 25,300 Annual decline rate = 20\text{%} = 0.20
Calculate Remaining Percentage: Calculate the remaining percentage of landlines each year. Remaining percentage = 100%−20%=80%=0.80
Use Exponential Decay Formula: Use the exponential decay formula to find the number of landlines after 5 years. Formula: Final amount = Initial amount × (remaining percentage)number of years
Plug in Values: Plug in the values and calculate. Final amount = 25,300×(0.80)5