Question

petra is making necklaces to sell at a craft fair. The hardware for each necklace cost $3.75, and each bead cost $0.50. The number of beads Petra needs depends on the the design she chooses. Which expression gives the total cost to make 30 necklaces with b beads?

Answer 1

The total cost to make 30 necklaces with b beads each is given by the expression $112.50 + 15b, where b represents the number of beads per necklace.

Step-by-step explanation:

To find the total cost to make 30 necklaces with b beads each, we need to add the cost of the hardware and the cost of the beads for each necklace, and then multiply by the total number of necklaces.

The cost of hardware for each necklace is $3.75, so for 30 necklaces, the cost will be 30 × $3.75. The cost of each bead is $0.50, so the cost for b beads is b × $0.50. If each of the 30 necklaces has b beads, the total cost for the beads is 30 × (b × $0.50).

Therefore, the expression for the total cost to make 30 necklaces with b beads is:
30 × $3.75 + 30 × (b × $0.50).

This simplifies to:
$112.50 + 15b, where b is the number of beads per necklace.

Answer 2

Let

h----------> number of hardware

b--------> number of beads

T------> total cost for make necklaces

we know that

the total cost for one necklaces is equal to

T=3.75*h+0.50*b----------> h=1

T=3.75+0.50*b

so

the total cost for 30 necklaces is equal to

h=30

T=3.75*30+0.50*b---------> T=112.5+0.50*b

therefore

the answer is

The expression is equal to

T=112.5+0.50*b