Sara wants to buy a necklace. The necklace has a list price of $57, and the sales tax is 8%. What will be the cost of the necklace after tax is added? Round your answer to the nearest cost. (can you try and explain it to me using proportions)

Sure! I can explain how to calculate the cost of the necklace after tax using proportions.

To calculate the cost of the necklace after tax, we first need to find the amount of tax that needs to be added to the list price. The tax is calculated as a percentage of the list price.

Let's start by finding the amount of tax. The tax rate is 8%, which means for every $100, there is $8 in tax.

To find the tax amount for the necklace, we can set up a proportion using the tax rate. Since the list price is $57 and the tax rate is 8%, the proportion would be:

$8 / $100 = x / $57

To solve for x, we can cross multiply:

8 * $57 = x * $100

456 = x * $100

Now, we divide both sides of the equation by $100 to isolate x:

456 / $100 = x

x = $4.56

So, the tax amount for the necklace is $4.56.

To find the cost of the necklace after tax, we add the tax amount to the list price:

$57 + $4.56 = $61.56

Rounding to the nearest cent, the cost of the necklace after tax will be approximately $61.56.

57(1.08) = ?

61.56