Final answer:
After getting a 30 percent discount on an $800 television, Olivia paid $560. The discount was calculated by multiplying the original price by the discount rate, and then subtracting the result from the original price.
Step-by-step explanation:
Olivia bought a television with an original price of $800, but she received a 30 percent discount. To calculate the discount amount, we multiply the original price by the discount percentage:
$$800 \times 0.30 = $240$$
The discount amount is $240. Now, to find the price Olivia paid after the discount, we subtract the discount amount from the original price:
$$800 - $240 = $560$$
Therefore, Olivia paid $560 after the discount. This corresponds to option (a).