Question 991589

use linear equation: 

{{{y=mx+b}}}

if a bank account starts with ${{{500}}}, then {{{b=500}}}

 let's the number of weeks be {{{x}}}, and if each week you deposit an additional ${{{25}}}, then {{{m=25}}}

so, your equation will be: {{{y=25x+500}}}

to find the number of weeks it would take to have a total of ${{{675}}} in the bank account, substitute {{{675}}} for {{{y}}} and solve for {{{x}}}:

{{{675=25x+500}}}

{{{675-500=25x}}}

{{{175=25x}}}

{{{x=175/25}}}

{{{x=7}}}

so, it will take {{{7}}} weeks to have a total of ${{{675}}} in the bank account