Question

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.

Answer 1

$(3b+2)

Explanation:

The cost of making b bracelets = 4+5b

The cost of making b necklaces = 8b+6.

To determine how much more it cost to make b necklaces than b bracelets, we simply subtract.

Extra Cost = Cost of b Necklaces-Cost of b Bracelets

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

open the brackets

=8b+6-4-5b

Collect like terms

=8b-5b+6-4

=3b+2

It costs $(3b+2) more to make b necklaces than b bracelets.