find sales tax in your area --(6%). using tax rate, write a linear equation representing the total with tax for a purchase of x dollars. Using this equation to dtermine what the pretax cost of the item is if the total cost is $10.
1.06x = total cost
1.06x = $10
x = 10/1.06
x = ?
To find the sales tax in your area, you can simply multiply the purchase amount by the tax rate. In this case, the tax rate is given as 6%, which can also be expressed as 0.06 in decimal form.
So, if you want to find the tax on a purchase of x dollars, the equation would be:
Tax = 0.06 * x
To find the total cost with tax, you add the tax amount to the purchase amount:
Total Cost = x + Tax
Now, let's use this equation to determine the pre-tax cost of the item if the total cost is $10.
Total Cost = x + Tax
We know the total cost is $10, so we substitute Total Cost with 10:
10 = x + Tax
Now, we substitute the tax amount with the tax equation we derived earlier:
10 = x + 0.06x
Now, we can simplify the equation:
10 = 1.06x
To solve for x, we divide both sides of the equation by 1.06:
10/1.06 = x
Approximately, x ≈ $9.43
Therefore, if the total cost is $10, the pre-tax cost of the item would be approximately $9.43.