Question

Example 225 200 175 150 explain what it represents. 1 2 0 3 Amount Owed (5) 125 150 200 100 50 0 Week Amount Carmen Owes (S) 100 75 SO 25 O 1 is -$50. Weeks Carmen pays more per week than Sam. function. Which line is steeper? is negative? 3 Suppose Sam decides to pay for his bicycle in two equal weekly payments. How would that affect his rate of change? Would Sam pay more or less than Carmen Carmen buys a new bicycle. Her weekly payment plan is shown in the table. Sam also buys a new bicycle. His weekly payment plan is shown in the graph. Find The amount Carmen owes decreases by $50 each week, so her rate of change The amount Sam owes decreases by $25 each week, so his rate of change is --$25. the rate of change for each function and Graph Carmen's function on the same grid as Sam's 2 How does the graph show that the rate of change

Answer 1

(1) The graph shows Sam's payments in blue while that of Carmen is shown in orange color.

(2) The graph shows that the rate of change is negative because it slopes downwards from left to right, which means as the weeks go by, the amount paid decreases. The amount paid is on the y axis while the weeks is on the x axis. As y moves up in the positive direction, x moves towards the left in the negative direction.

(3) I Sam decides to pay in two equal weekly payments, then his payment plan would be $62.5 per week and hence the graph of his payment plan would be steeper than the two currently on the coordinate grid.