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.
(4 points)
1) The graph of this scenario would be
because the rate of change changes.
The graph would be a piecewise function, consisting of two linear functions.
For the first 6 weeks, the rate of change is constant at $15 per week. So the graph would be a straight line with a slope of 15, starting from $50.
After the 6th week, the rate of change changes to -$10 per week (as he is spending money instead of saving). So the graph would be another straight line with a slope of -10, starting from where the first line ended.
The graph would have a horizontal line segment at y = 0, indicating that his money is all spent.
Overall, the graph would consist of a diagonal line segment with a positive slope of 15 for the first 6 weeks, followed by a diagonal line segment with a negative slope of 10 until his money is gone.