Final answer:
The price c(x) of a classified ad is $31.50 for up to 5 lines, and if there are more than 5 lines, an additional $5.50 per extra line is charged.
Step-by-step explanation:
The price c(x) of a classified ad in Roxanne's hometown newspaper based on the number of lines x in the ad can be described as follows:
If the ad contains 5 lines or fewer, the cost is a fixed cost of $31.50, regardless of the number of lines. If the ad contains more than 5 lines, the cost is $31.50 for the first 5 lines, plus an additional $5.50 for each line beyond the first 5. Thus, for x>5, the cost c(x) is calculated with the function 31.50 + 5.50(x - 5).