Question

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

Answer 1

• See the graph with the curve attached

• The function is:

`C(x)=120x`

Step-by-step 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
`y=mx+b`

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:

`C(x)=120x`

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.