Answer :
Barry's checking account experiences three transactions each month:
1. A deposit of \[tex]$700.
2. A withdrawal of \$[/tex]150 for gas.
3. A withdrawal of \[tex]$400 for other expenses.
The net change in his account each month is calculated by adding the deposits and subtracting the withdrawals:
$[/tex][tex]$
\text{Net Change} = 700 - 150 - 400 = 150.
$[/tex][tex]$
This means that every month, Barry’s account balance increases by \$[/tex]150.
Given that the account balance at the end of the first month is \[tex]$1,900, the recursive equation representing the account balance at the end of month $[/tex]n[tex]$ is:
$[/tex][tex]$
f(1) = 1900 \quad \text{and} \quad f(n) = f(n-1) + 150 \text{ for } n \geq 2.
$[/tex]$
This corresponds to the recursive equation in choice D.
1. A deposit of \[tex]$700.
2. A withdrawal of \$[/tex]150 for gas.
3. A withdrawal of \[tex]$400 for other expenses.
The net change in his account each month is calculated by adding the deposits and subtracting the withdrawals:
$[/tex][tex]$
\text{Net Change} = 700 - 150 - 400 = 150.
$[/tex][tex]$
This means that every month, Barry’s account balance increases by \$[/tex]150.
Given that the account balance at the end of the first month is \[tex]$1,900, the recursive equation representing the account balance at the end of month $[/tex]n[tex]$ is:
$[/tex][tex]$
f(1) = 1900 \quad \text{and} \quad f(n) = f(n-1) + 150 \text{ for } n \geq 2.
$[/tex]$
This corresponds to the recursive equation in choice D.