The function $r(t)$ represents the rate at which a country's debt is growing. Consider the following expressions:

A$.\frac{r(2000)-r(1992)}{2000-1992}$

B$.{\displaystyle \underset{1992}{\overset{2000}{}}}r(t)dt$

C$.{\displaystyle \underset{1992}{\overset{2000}{}}}{r}^{\text{'}}(t)dt$

D$.r(2000)-r(1992)$

E$.r(2000)$

and interpretations:

A$.$ Average rate of change of the debt rate between $1992$ and $2000$

B$.$ Change in debt rate between $1992$ and $2000$

C$.$ Increase in debt between $1992$ and $2000$

D$.$ Debt of the country in $2000$

E$.$ Rate of debt in $2000$

Determine which interpretation corresponds to which expression. Note that there may not be a one$-$to$-$one correspondence between all expressions and interpretations.

Answers:

Expression A corresponds to interpretation

Expression B corresponds to interpretation

Expression C corresponds to interpretation

Expression D corresponds to interpretation

Expression E corresponds to interpretation