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Devon owes his parents $60. He does weekly chores to earn money to pay them back. The
graph models the linear relationship between Devon's debt and the number of weeks he has
completed his chores.
8. Find the rate of change of Devon's debt with respect to
the weeks he has worked.

9. How would the graphed line change if Devon were
able to pay his parents $ 10 every week?
10. How would the graphed line change if Devon only owed
his parents $40?

Devon owes his parents 60 He does weekly chores to earn money to pay them back The graph models the linear relationship between Devons debt and the number of w class=

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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.

Learn more : https://brainly.com/question/18904995

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