Question

The number of scented candles packaged in a box can vary by at most two from an average of 80 candles per box. If the cost of producing a candle is two dollars, what is the range of the possible production costs, x, for 50 boxes of candles?

Answer 1

Answer:

if you are using PLATO, the answer is D. 7,800 ≤ x ≤ 8,200

Answer 2

Answer:

The range of production cost is = $7,800 - $8,200

Step-by-step explanation:

first, we must identify how many candles we'll have on the 50 boxes, this is by multiplying the average number of candles a box contains

80 candles per box x 50 boxes = 4,000 candles

Now, we know the total number of candles can vary by around two candles per box, that means that some boxes can have 78 candles instead of 80. We calculate this number:

78 candles per box x 50 boxes = 3,900 candles

That's nother estimation, but as well as it can have 78 candles, it can also have 82 candles. We calculate now this number:

82 candles per box x 50 boxes = 4,100 candles

Then, we can multiply these amounts for the two dollars of production cost per candle:

3,900 candles x 2 dollars each = $7,800

4,000 candles x 2 dollars each = $8,000

4,100 candles x 2 dollars each = $8,200

If we want to set the range, we just take the lowest and the highest number:

range of production cost = $7,800 - $8,200

Let me know if you have any question :D