Question

The cost (in dollars) in 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.

Answer 1

Answer:

$P(b)=3b+2$

Step-by-step explanation:

The cost (in dollars) in making b bracelets is represented is

$B(b)=4+5b$

The cost (in dollars) of making b necklaces is

$N(b)=8b+6$

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,

$P(b)=N(b)-B(b)$

$P(b)=8b+6-(4+5b)$

$P(b)=8b+6-4-5b$

$P(b)=3b+2$

This is a polynomial in descending powers of b, hence it is in standard form;