To write the equation in slope-intercept form, we need to determine the slope and y-intercept.
Given:
Toby deposits $5 in the bank each week.
He starts with $25 in his account.
The slope represents the rate of change, which is $5 per week in this case. The y-intercept is the initial amount Toby had in his account, which is $25.
Therefore, the equation in slope-intercept form relating the amount of money Tony has in his account (y) to the number of weeks (x) can be written as:
y = 5x + 25
In this equation, y represents the amount of money in Toby's account, and x represents the number of weeks. The slope of 5 indicates that for each week (x), Toby's account balance (y) increases by $5, and the y-intercept of 25 represents the initial amount in his account.