The cost (in dollars) of making $b$ bracelets is represented by $4+5b$. The cost (in dollars) of making $b$ necklaces is represented by $8b+6$. Write a polynomial in standard form that represents how much more it costs to make $b$ necklaces than $b$ bracelets.

Question

Mathematics

Allyson Buck

19 June, 03:48

The cost (in dollars) of making $b$ bracelets is represented by $4+5b$. The cost (in dollars) of making $b$ necklaces is represented by $8b+6$. Write a polynomial in standard form that represents how much more it costs to make $b$ necklaces than $b$ bracelets.

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Answers (1)

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Aussie · Answer 1

Answer: 3b+2

Work Shown:

b = number of items (either bracelets or necklaces)

R = cost to make b bracelets

R = 4+5b

N = cost to make b necklaces

N = 8b+6

D = difference between N and R

D = N - R

D = (8b+6) - (4 + 5b)

D = 8b+6 - 4 - 5b

D = (8b-5b) + (6 - 4)

D = 3b + 2