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12 March, 12:35

A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price

by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly

revenue, R (x) after xone-dollar decreases in price.

R (x)

R (x)

6,000+

4,000+

6,000+

1,000+

2.000

2,000+

2,000

2,000+

-4,000

4,000

6,000+

-6,000

Graph w

R (x)

Graph X

R (x)

6,000+

1,000+

6,000+

1,000+

2,000+

2,000

-2,000+

2,000

1,000+

4,000

-6,000

6,000

Graph Y

Graph Z

This situation can be modeled by the equation y =

x +

x +

and by graph

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+1
Answers (2)
  1. 12 March, 12:40
    0
    Answer: - 50 300 2000 Y
  2. 12 March, 12:51
    0
    R (x) = (10 - x) (200 + 50x)

    Step-by-step explanation:

    One set of scented candles costs $10 and the average sale is of 200 sets each week.

    If the price of each set is reduced by 1 $, then the sale per week increases by 50 candle sets.

    Therefore, if x$ is reduced from the original price of each set of candles then the weekly sale increases by 50x sets of candles.

    If the candle maker's weekly revenue is R (x), then it can be written as

    R (x) = (10 - x) (200 + 50x) where x is the number of dollars reduction in price of each candle set. (Answer)
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