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1 vote
The following equation is used to predict the cost, e, in dollars, to produce g units of some item.

e = 0.59g + 12
What is a reasonable range for the cost to produce less than 100 items?
A. $12.59 - $71.00
B. $12.59 - $71.59
C. $12.00 - $71.00
D. $12.00 - $71.59

1 Answer

5 votes

Final answer:

The reasonable range for the cost to produce less than 100 items using the equation e = 0.59g + 12 is $12.59 - $70.82. Since the exact option is not given, the closest correct range is $12.59 - $71.00 (Option A), rounding to the nearest dollar.

Step-by-step explanation:

When predicting the cost, e, to produce g units of some item using the equation e = 0.59g + 12, and we want to find the range for the cost to produce less than 100 items, we would plug in the values of g from 1 to 99 into the equation. For g=1, the cost would be e = 0.59*1 + 12 = $12.59. For g=99, the cost would be e = 0.59*99 + 12 = $71.41. However, since we are looking for a range that is less than $71.41, we will consider the cost for g=98, which gives e = 0.59*98 + 12 = $70.82. Therefore, the correct range for the cost to produce less than 100 items is $12.59 - $70.82. However, this option is not listed, so the closest correct option is $12.59 - $71.00 (Option A), assuming that the question intended to round to the nearest dollar.

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