Question

when johan lost his job, the balance in his checking account is 21 thousand. while he is unemployed, the balance declines by 3thousand per month. let b be the balance in thousands of dollars in the checking account after t months of unemployment.

Answer 1

`\begin{gathered} B(t)=21-3t,\text{ values are in th}ousands \\ The\text{ equation is }B(t)=21-3t \\ To\text{ find vertical intercept} \\ t=0 \\ B(0)=21-3(0) \\ B(0)=21 \\ \text{The vertical intercept is 21} \\ It\text{ means the starting balance }in\text{ his checkin acount} \\ To\text{ find horizontal intercept} \\ 0=21-3t \\ 3t=21 \\ t=(21)/(3) \\ t=7 \\ \text{The horizontal intercept is 7} \\ In\text{ this situation, horizontal intercept means the number of months when the balance is 0} \\ B(t)\text{ in thousand dollar} \\ 21\text{ in thousand dollar} \\ 3\text{ in dollar per month} \end{gathered}`