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Question 927143: 10. A new company is producing ant farms. They had a start-up fee of $200 and have supplies that cost $5 per ant farm. Write a linear equation that shows the cost for this new company creating a farms.
11. Using a table, find the cost to produce 8 farms, 10 farms and 12 farms. You will need to graph this below. Scale each axis.
12. Using your graph, find the cost to produce 20 and 22 of these ant farms.
13. What does the y-intercept in this specific problem tell you?
14. What does the slope indicate for this specific problem?
15. Write this equation for the cost in function notation. Find f (100).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A new company is producing ant farms. They had a start-up fee of $200 and have supplies that cost $5 per ant farm. Write a linear equation that shows the cost for this new company creating a farms.
C(x) = 200 + 5x
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11. Using a table, find the cost to produce 8 farms, 10 farms and 12 farms. You will need to graph this below. Scale each axis.
C(8) = 200 + 5*8 = 240
C(10) = 200 + 5*10 = 250
C(12) = 200 + 5*12 = 260
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12. Using your graph, find the cost to produce 20 and 22 of these ant farms.
C(20) = 200 + 5*20 = 300
C(22) = 200 + 5*22
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13. What does the y-intercept in this specific problem tell you?
C(0) = 200 + 5*0 = 200
It tells you the startup cost.
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14. What does the slope indicate for this specific problem?
slope = 5
It tells you the cost for each additional ant hill
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15. Write this equation for the cost in function notation. Find f (100).
C(x) = 200 + 5x
C(100) = 200 + 5*100 = 700
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Cheers,
Stan H.
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