Answer:
Explanation:
Let's denote the price difference between Option 1 and Option 2 as D(x), where x represents the number of months.
In Option 1, the price of the bracelet decreases by 10% each month. Therefore, the price after x months can be calculated as:
Price after x months = $100 - (10% of $100) * x
Price after x months = $100 - ($100 * 0.10) * x
Price after x months = $100 - $10x
In Option 2, the price of the bracelet decreases by $20 each month. Therefore, the price after x months can be calculated as:
Price after x months = $100 - ($20 * x)
Price after x months = $100 - $20x
To find the difference in price between Option 1 and Option 2, we subtract the price of Option 2 from the price of Option 1:
D(x) = ($100 - $10x) - ($100 - $20x)
D(x) = $100 - $10x - $100 + $20x
D(x) = $10x
So, the function that shows the difference in price between Option 1 and Option 2 for a bracelet that originally costs $100, where x is the number of months, is D(x) = $10x.