Chapter 4.1, Problem 57E

Credit market debt. Since 2013, the annual rate of change in the national consumer revolving credit market debt can be modelled by the function

$D\text{'}\left(t\right)=\text{1}2.922t+\text{11}.474,$

where $D’\left(t\right)$ is in billions of dollars per year and $t$ is the number of years since January 2013. (Source: Based on data from federalreserve.gov/releases/g19/current.) Use the preceding information for Exercises 57 and 58.

57. Find the credit market debt, $D\left(t\right)$, since 2013, given that $D\left(0\right)=848.8$.