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klasskru [66]
3 years ago
14

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled b

y the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0
The answer should be 33x -390

olga_2 [115]3 years ago
4 0

Answer:

33x+390

Step-by-step explanation:

Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial

2x^3 + 30x - 130.

The cost, in dollars, of producing the skateboards can be modeled by

2x^3 - 3x - 520.

Profit function = Revenue - cost

= 2x^3 + 30x - 130-(2x^3 -3x - 520)\\=33x+390

So profit function in terms of x

= 33x+390

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So far we can conclude that the answer to your question lies somewhere between the numbers 3 and 4. To narrow down the answer some more, multiply 32 by 3.5 (a midway point between 3 and 4).

32 × 3.5 = 112
The number 112 tells us that the decimal we are looking for is higher than 3.5. (Because we need to get to 125, not 112.) Let's try some decimals between 3.5 and 4.

32 × 3.7 = 118.4
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As we narrow down our answer, we can see that the number we are looking for lies between 3.9 and 4 on the number line. Now we need to start testing some decimals between 3.9 and 4. 

32 × 3.905 = 124.96
Again, use the number five as a "midway" point to decide if you should use numbers that are higher or lower than 3.905. In this case, we need to use numbers higher than 3.905.

32 × 3.906 = 124.992
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We are getting even closer to our number now that we know the decimal is somewhere between 3.906 and 3.907.

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\frac{125}{32} = 3.90625
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