Question

3. The total cost for 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write an equation that models the cost of each bracelet.

4. Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer. Provide your conclusion.

Answer 1

The equation that models the cost of each bracelet is
`72=9x+9`. Cost of each bracelet is $7.

Explanation:

Let the cost of each bracelet is defined by the variable x.

Cost of 9 bracelet is 9x. The shipping cost is $9. Therefore the total cost of 9 bracelets, including shipping is

`\text{Total Cost}=9x+9`

The total cost for 9 bracelets, including shipping is $72.

`72=9x+9`

Subtract 9 from both sides

`72-9=9x+9-9`

`63=9x`

Divide both sides by 9.

`7=x`

Therefore the cost of each bracelet without shipping changes is $7.