Question

Write two equivalent expressions that can be used to find the final price of an item costing g dollars that is on sale for 25% off and charged 10% sales tax.

a) 0.9g + 0.1g
b) 0.75g + 0.1g
c) 1.25g - 0.1g
d) 0.9g - 0.25g

Answer 1

To find the final price of an item on sale and charged tax, use the expressions 0.75g + 0.1(0.75g) or 0.9g + 0.1g.

Step-by-step explanation:

To find the final price of an item costing g dollars that is on sale for 25% off and charged 10% sales tax, we can use two equivalent expressions:

Expression 1: 0.75g + 0.1(0.75g)

Explanation: First, we calculate 25% off the original price by multiplying the original price by 0.75 (1 - 0.25 = 0.75). Then, we find the sales tax by multiplying the discounted price by 0.1 (10% in decimal form). Finally, we add the discounted price and the sales tax to find the final price.

Expression 2: 0.9g + 0.1g

Explanation: First, we calculate 10% off the original price by multiplying the original price by 0.9 (1 - 0.1 = 0.9). Then, we find the sales tax by multiplying the discounted price by 0.1 (10% in decimal form). Finally, we add the discounted price and the sales tax to find the final price.