Question

alina has $500 in her bank account. every week she withdraws $45. write an equation where x represents the number of weeks and y represents the amount of money in her bank account.

Explanation:

Step1: Identify initial amount and rate of change

Initial amount (when \( x = 0 \)) is $500. The rate of change (withdrawal per week) is -$45 (negative because money is decreasing).

Step2: Use slope - intercept form of linear equation

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( m=- 45 \) and \( b = 500 \). So the equation is \( y=-45x + 500 \).

Answer:

\( y=-45x + 500 \)