Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?
g(x) = 0.4x + 35.5
g(x) = 0.4x + 67
g(x) = 2.5x + 25
g(x) = 2.5x + 50
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.