function problem

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salma

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Nov 28, 2012
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Use the following situation to answer questions 10 and 11.
A toy manufacturer determines that it will cost $8,000 to produce 500 dolls a week and $14,000 to produce 1000 dolls a week.


10) Express the cost, C, as a function of the number of dolls produced, x, assuming that it is linear.
a)C = 12x + 8000
b)C = 12x - 2000
c)C = 12x + 2000
d)C = ½x - 3500
e)C = ½x + 3500




11) Which of the following statements is the best interpretation of the slope in problem
number 10?
a) The amount the company charges for each doll.
b) The amount it costs the company to produce each doll.
c) The amount of profit the company receives for each doll.
d) The amount the company’s costs are increasing each year.
e) The amount the company’s profits are increasing for each year.

I got C for 10 and D for 11. Correct?
 
salma said:
Use the following situation to answer questions 10 and 11.
A toy manufacturer determines that it will cost $8,000 to produce 500 dolls a week and $14,000 to produce 1000 dolls a week.


10) Express the cost, C, as a function of the number of dolls produced, x, assuming that it is linear.
a)C = 12x + 8000
b)C = 12x - 2000
c)C = 12x + 2000
d)C = ½x - 3500
e)C = ½x + 3500




11) Which of the following statements is the best interpretation of the slope in problem
number 10?
a) The amount the company charges for each doll.
b) The amount it costs the company to produce each doll.
c) The amount of profit the company receives for each doll.
d) The amount the company’s costs are increasing each year.
e) The amount the company’s profits are increasing for each year.

I got C for 10 and D for 11. Correct?NO
Click to expand...

Show work for explanation.
 
I basically went through each choice and plugged in the numbers to see which would satisfy both. So c) which is C=12x+2000 satisfies both becuase 12(500)+2000 is 8000. and 12(1000)+2000 is 14000.

I dont understand where i went wrong?
 
You are correct in claiming that the answer to 10 is C.

However, 11 does not say anything about a year - neither does it say anything about increasing or decreasing cost with time.
 
True. I wanna say its B, since x represents the # of dolls produced so then the slope would represent the amount it costs them to produce each doll.?
 
I also have a very similar problem to this, and Im confused. I think it might be B. if not, then C.
 
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