Tina has $600 in her bank account when she starts withdrawing $50 a week. What is the slope in this problem?
To determine the slope, we need to understand the relationship between the amount of money Tina has in her bank account and the number of weeks. In this problem, Tina withdraws $50 from her account every week.
Let's assume that Tina starts at week 0 with $600 in her account. After 1 week, she will have $600 - $50 = $550. After 2 weeks, she will have $550 - $50 = $500, and so on.
We can represent the number of weeks (x) along the horizontal axis and the amount of money in her account (y) along the vertical axis.
The changes in y (money in her account) as x (number of weeks) increases are predictable. Each week, Tina withdraws $50, which causes the y value (money in her account) to decrease by $50.
This consistent rate of change of -$50 per week tells us that the slope of the line in this problem is -50.