Question

will warn you before submitting it to your instructor. The sales tax of an item is 6.1%. Express the total cost, C, in terms of the price of the item, P.

Answer 1

To find the total cost including a 6.1% sales tax, convert the tax rate to a decimal, multiply it by the item price to get the tax amount, add it to the original price to find the total cost, or use the formula C = P × (1 + 0.061).

Step-by-step explanation:

To express the total cost, C, in terms of the price of the item, P, when the sales tax is 6.1%, follow these steps:

1. 
   
3. Convert the sales tax rate from a percent to a decimal by dividing by 100. Thus, 6.1% becomes 0.061.
4. 
   
6. Multiply the price of the item, P, by the decimal sales tax rate to find the amount of sales tax. So the sales tax amount is P × 0.061.
7. 
   
9. Add the sales tax amount to the original price to find the total cost. Therefore, C = P + (P × 0.061).

To simplify, you can factor out P from the right side of the equation, resulting in C = P × (1 + 0.061).

Using this formula, if an item costs P dollars, the total cost including sales tax will be P times 1.061.