Answer
a) 7.98 billion pounds
b) 9.18 billion pounds
c) 10.58 billion pounds
d) The number of pounds is increasing at a steady rate. The average increase in pounds between 2000 and 2005 was .24 billion pounds, and the average increase in pounds between 2005 and 2010 was .28 billion pounds.
Work Step by Step
$f(x)=.004x^2+.22x+7.98$
a)
$2000-2000=0$
$f(x)=.004x^2+.22x+7.98$
$f(0)=.004*0^2+.22*0+7.98$
$f(0)=0+0+7.98$
$f(0)=7.98$
b)
$2005-2000=5$
$f(x)=.004x^2+.22x+7.98$
$f(5)=.004*5^2+.22*5+7.98$
$f(5)=.004*25+1.1+7.98$
$f(5)=.1+9.08$
$f(5)=9.18$
c)
$2010-2000=10$
$f(x)=.004x^2+.22x+7.98$
$f(10)=.004*10^2+.22*10+7.98$
$f(10)=.004*100+2.2+7.98$
$f(10)=.4+10.18$
$f(10)=10.58$
