Ryan is tracking how much money he has each week.
He started with $50.
He saves $15 per week for the first 6 weeks.
He spent $10 per week after week 6 until the money's all spent.
1) The graph of this scenario would be
because the rate of change changes.
2) The y-intercept of this graph would be
meaning
.
3) The rate of change is
after the first 6 weeks because as the weeks increase the money decreases.
1) The graph of this scenario would be a piecewise function because the rate of change changes. It would consist of a linear function for the first 6 weeks and another linear function after week 6.
2) The y-intercept of this graph would be $50, meaning that initially, Ryan starts with $50.
3) The rate of change is -$10 per week after the first 6 weeks because as the weeks increase, the money decreases by $10 each week.