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The linear function that models the scenario is:
g(x) = 2.5x + 25
Explanation:
- Last week, Pedro delivered 5 newspapers and earned $37.50. This means that when x=5, y=37.5. So the equation g(x) = 2.5x + 25 fits this data point.
- This week, Pedro delivered 20 newspapers and earned $75. This means that when x=20, y=75. This data point also fits the equation g(x) = 2.5x + 25.
Therefore, the linear function g(x) = 2.5x + 25 models the scenario.