Question

Which of the following situations can be modeled by the equation below:

1.08x = x + 1.25?

A) The 8% sales tax on an item equals the cost of the item less $1.25.
B) The 8% sales tax on an item equals the cost of the item plus $1.25.
C) The cost of an item including 8% sales tax is $1.25 less than the cost of the item without sales tax.
D) The cost of an item including 8% sales tax is $1.25 greater than the cost of the item without sales tax.

Answer 1

The equation can be modeled by the situation described in option C: The cost of an item including 8% sales tax is $1.25 less than the cost of the item without sales tax.

Step-by-step explanation:

This equation can be modeled by the situation described in option C: The cost of an item including 8% sales tax is $1.25 less than the cost of the item without sales tax.

To solve the equation, we can start by subtracting x from both sides to isolate the term with the sales tax: 0.08x = 1.25.

Next, divide both sides by 0.08: x = 1.25/0.08.

Using a calculator, the value of x is approximately 15.625. Thus, the cost of an item without sales tax is $15.625 and the cost of the same item including 8% sales tax is $15.625 - $1.25 = $14.375.