hvandyck4
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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?

Respuesta :

2 equations:
37.5=5a+b
75=20a+b

We get: a=2.5, b=25
So, the linear function is: y=2.5x+25

Answer: The required linear function is,

y = 2.5x + 25

Step-by-step explanation:

Here, x represents the number of newspapers Pedro delivers and y represents the earnings he receives in dollars.

Let the linear function that represents the given situation is,

y = mx + c,

Given,

When x = 5, y = 37.50,

⇒ 37.50 = 5m + c -------(1),

Also, When x = 20, y = 75,

⇒ 75 = 20m + c -----(2),

Equation (2) - Equation (1),

We get,

37.50 = 15m

⇒ m = 2.5

From equation  (1),

37.50 = 12.5 + c

⇒ c = 25

Hence, the linear function that models the given scenario is,

y = 2.5x + 25

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