Question

​(a) Find an exponential model of the form

​f(t)equals=y0bt

for these​ data, where

tequals=0

corresponds to the year 2000. If you do not have suitable​ technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable​ technology, use exponential regression to find a function.

Death R Year The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) through (c) below. 256.3 2000 239.2 2002 218.0 2004 (a) Find an exponential model of the form f(t) yob for these data, where t 0 corresponds to the year 2000. If you do not have suitable technology, data points to find a function. If you have a graphing calculator or other suitable technology, use exponential regression to find a function. 210.5 2006 186.2 2008 use the first and last 177.1 2010 170.1 2012 166.0 2014 t ft)- (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2020 and 2026. people per 100,000. The death rate in 2020 will be (Round to one decimal place as needed.) people per 100,000. The death rate in 2026 will be (Round to one decimal place as needed.) (c) Use a graphing calculator (or trial and error) to determine the first full year in which the death rate will be below 100 The first fiill vear in which the death rate will he below 100

Answer 1

olution Take log bok l mi te NJ at() 256.3 iot quare (Lh 2 239.2 Jugungn, we gaot 2/3.0 - 0.0142 186-2 hence pb-D-D 14 2 (-D-014リ 120.1 2 210 967 166 4 2.401 dD(2.401) So, te eguaton be oms ン 252-2 252.2 (0.96) get 131.1 we 大- 20 Fr year 2020, t: 26, fon yer St eal-