To find the amount of the discount on a [tex]$234 item with a discount rate of 15%, follow these steps:
1. Convert the discount rate from a percentage to a decimal.
A 15% discount rate can be expressed as \( \frac{15}{100} \) which equals 0.15.
2. Multiply the original price by the discount rate to find the discount amount.
The original price of the item is $[/tex]234. The discount rate is 0.15. So, calculate:
[tex]\[
234 \times 0.15 = 35.1
\][/tex]
3. Convert to two decimal places if necessary.
The result [tex]\( 35.1 \)[/tex] is already represented as a currency value, which implies it's two decimal places when needed.
Therefore, the amount of the discount on the [tex]$234 item is \(\$[/tex] 35.10\).
So, the correct answer is:
B. [tex]$\$[/tex] 35.10$