33. If Farmer George plants no seeds on his farm, he gets no harvest. If he plants 1 bag of seeds, he gets 5 bushels of wheat. If he plants 2 bags, he gets 9 bushels. If he plants 3 bags, he gets 12 bushels. A bag of seeds costs $120, and seeds are his only cost. What is George's total cost curve

Respuesta :

Answer:

  • See the graph with the curve attached

  • The function is:

        [tex]C(x)=120x[/tex]

Explanation:

# bags of       # bushels   Cost $

seeds

     0                     0                 0

      1                     5              1 × 120 = 120

      2                    9               2 × 120 = 240

      3                   12               3 × 120 = 360

Pair # bags of seeds with cost

# bags of      Cost $

seeds

     0                   0

      1                120

      2               240

      3               360

Since the unit cost is constant, this is a linear function, which has the general form [tex]y=mx+b[/tex]

Where m is the slope (the unit cost) and b is the y-intercep (the value when the number of bags is zero).

Thus the curve is modeled by the function:

        [tex]C(x)=120x[/tex]

Where C(x) is the cost and x is the number of bag of seeds.

To draw the curve, you can use the four points:

  • (0,0)
  • (1, 120)
  • (2, 240)
  • (3,360)

See the graph attached.

Ver imagen Edufirst