The approximate GDPs per capita of two countries from 2000 to 2004 (in today's US dollars) are shown in the table below. For each country, determine whether the GDP per capita is better modeled by a linear or exponential function, and write a formula modeling the GDP per capita as a function of years since 2000.

Country A

Years since 2000	$0$	$1$	$2$	$3$	$4$
GDP per capita	$35,400$	$36,900$	$38,400$	$39,900$	$41,400$

Country B

Years since 2000	$0$	$1$	$2$	$3$	$4$
GDP per capita	$23,700$	$25,738$	$27,952$	$30,356$	$32,966$

Country A:

A. Linear
B. Exponential

$A(t)=$

Country B

A. Linear
B. Exponential

$B(t) =$

Hint: