Answer
$a)$ The value of a $2001$ contastant dollar in $2000$ is $1.023$ and in $2010$ is $0.793$
$b)$ The model will fall to below $80$ cents in $2010$ and bellow $75$ cents in $2012$
Work Step by Step
$a)$ For this exercise we will just evaluate the value of the function when $t=-1$ and $t=9$ :
$d(-1)=-0.023*(-1)+1.00=1.023$
$d(9)=-0.023*(9)+1.00=0.793$
$b)$ For this exercise, we will just solve the following inequality, $d(t)1.00-y⇔$
$⇔t>\frac{1.00-y}{0.023}$
For $y=0.80$ we have $t\approx8.696$ and for $y=0.75$ we have $t\approx10,869$. We can conclude from this that the model will fall to below $80$ cents in 2010 and below $75$ cents in 2012.
