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The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value? Gas in Marco’s Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11 0 gallons 2 gallons 3 gallons 6 gallons

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Answer:

C

Step-by-step explanation:

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The initial value obtained using the slope-intercept relation is 3 gallons.

We need to obtain the rate of change which gives the amount of gas entering into his car per second :

  • Rate of change = Rise / Run

Rate of change = - 11 - 3) / (48 - 0)

Rate of change = 8/48 = 1/6 gallons

Using the slope intercept relation :

  • y = bx + c
  • b = slope ; c = initial amount of gas

Choosing any pair of (x, y) point on the table :

(0, 3)

3 = 1/6x + c

3 = 1/6(0) + c

3 = 0 + c

c = 3

Therefore, the initial value is 3 gallons.

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