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lawyer [7]
3 years ago
8

Anna and Liam time travel the country selling handmade leather bracelets at the state fair. Before traveling to Newtown, they bu

y a bunch of leather strips from a local shop for $136. If they sell their bracelets for eight dollars a piece, write an equation that can be used to describe their profit P in relation to the number of bracelets B that they sell at one state fair?
Mathematics
1 answer:
neonofarm [45]3 years ago
3 0

Answer:

P = $8B - $136

Step-by-step explanation:

Mathematically the profit can be calculated by subtracting the cost price from the selling price

Here, the cost price is $136

Now, their selling price is obtained by multiplying the number of pieces sold by the selling price of each piece

The number of pieces of bracelets is B and they sold at $8 per piece, the selling price of all is thus $8 * B = $8B

The profit P = selling price - Cost price = $8B - $136

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Looks like the PMF is supposed to be

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which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

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If Y=X^2+1, then X^2=Y-1\implies X=\sqrt{Y-1}, where we take the positive root because we know X can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that Y can take on the values 1^2+1=2, 2^2+1=5, and 5^2+1=26. At these values of Y, we would have the same probability as we did for the respective value of X. That is,

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