Final Answer:
For 7 lines, the paper will charge Tonya $35 (Option d) for the advertisement.
Step-by-step explanation:
The given piecewise function indicates the cost of the advertisement based on the number of lines (x). To find the cost for 7 lines, we utilize the function's rule or expression corresponding to the range where x = 7. Assuming the function is represented by C(x), for x = 7 lines, we evaluate C(7) to determine the cost. Following the function's rule for x = 7 lines, which yields $35, we conclude that the paper will charge Tonya $35 for the advertisement.
In piecewise functions, different rules or expressions govern distinct intervals or ranges of the independent variable. These rules help determine the output based on specific conditions or intervals. In this scenario, for the given function representing the cost of advertisement as a piecewise function, different costs apply depending on the number of lines used. By identifying the corresponding expression or rule for 7 lines and substituting x = 7 into the function, we arrive at the accurate cost of $35 for Tonya's 7-line advertisement, aligning with Option d as the correct choice.
Therefore, based on the given piecewise function representing the cost of advertisement per number of lines, Tonya will be charged $35 by the local newspaper for placing a 7-line advertisement, as indicated by the function's rule governing that specific range of lines (option d).