Answer
a. $574$ million.
b. $1148$ million.
c. $2295$ million.
d. $4590$ million.
e. doubles every 27 years.
Work Step by Step
a. Given the function $f(x)=574(1.026)^x$, let $x=0$; we have $f(0)=574(1.026)^0=574$ millions.
b. Let $x=27$; we have $f(27)=574(1.026)^{27}\approx1148$ million.
c. For year 2029, $x=2028-1974=54$; we have $f(54)=574(1.026)^{54}\approx2295$ million.
d. For year 2055, $x=2055-1974=81$; we have $f(81)=574(1.026)^{81}\approx4590$ million.
e. Based on the above results, it appears that India's population will double every 27 years.
