Question

Quiz: Chapter 4 Part 1 Review Submit This Question: 1 pt 3 of 16 (2 complete) This Quiz: 16 pts poss 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 1976 1978 Death Rate 258.4 245 9 233.9 222 5 211.7 Year 1970 1972 1974 (a) Find an exponential model for these data, where t 0 corresponds to the year 1970. 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 (Type an equation. Round to four decimal places as needed) f(t)= (b) Assuming the model remains accurate, estimate the death rate in 1994 and 1998 The death rate in 1994 will be approximately (Round to the nearest whole number) The death rate in 1998 will be approximately (Round to the nearest whole number.) (c) Use the equation from part (a) to determine the year in which the death rate will fall to 100 The death rate will fall to 100 in the year (Round to the nearest whole number 2 c Enter your answer in each of the answer boxes ch

Answer 1

(a) According to given information the equation is

f(t)=258.4 - 0.3t {where t is define year as t is 0 for 1970, 2 for 1972 }

(b) for 1994 t is 24

put the value in equation

f(24)=258.4 - 0.3*24

f(24)=258.4 - 7.2

f(24)=251.2

for 1998 t is 28

f(28)=258.4 - 0.3*28

f(28)= 258.4 - 8.4

f(28)=250

(c) for death rate 100

100=258.4 - 0.3*t

0.3*t=258.4 - 100

0.3*t=158.4

t=158.4/0.3

t=528

when t 528 mean year 2498 death rate is 100