The rate of change which is also the ratio of the rise to the run value of a graph.
- Rate of change = 7.5
- Steeper slope if rate of change = $10
- Steeper slope if amount owed = $40
Rate of change :
Rise / Run
From the graph :
y2 = - 60 ; y1 = 0 ; x2 = 0 ; x1 = 8
Rise = y2 - y1 = (-60 - 0) = - 60
Run = x2 - x1 = (0 - 8) = - 8
Rate of change = - 60 ÷ - 8 = 7.5
Hence, Devon's debt changes by 7.5 with respect to x
B.).
If Devon paid $10 every week instead of $7.5
- He would be able to pay his debt more quickly
- Hence, leading to a steeper slope on the graph
C.)
If Devon only had owed $40
- Debt will be lesser, meaning that repayment time will be lower
- At the same number of weeks, the graph will have a steeper slope.
Therefore, rate of change gives information about the slope of a graph, higher rate of change values results in steeper slopes.
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