We are asked to find the point at which The Accessory Store has a better deal using the given inequality. We are also given information about both stores.
Shop
Cost per Chain
Cost per Bead
The Accessory Store
$15
$3.25
Finishing Touch
$20
$2.50
Let's see what the different parts of the inequality mean.
The variable b represents the unknown number of beads.
The expression 15+3.25b gives the total cost of a necklace at The Accessory Store that is made of a chain and b beads.
The expression 20+2.50b gives the total cost of a necklace at Finishing Touch that is made of a chain and b beads.
The inequality represents the situation when The Accessory Store has a better deal.
Since b represents the number of beads, we are looking for whole number solutions. Therefore, The Accessory Store has a better deal for necklaces made out of 6 or fewer beads.
