Quantitative Literacy Practice Exam 2026 – Comprehensive All-in-One Guide to Exam Success!

The correct function representing the total payment to the babysitter is derived from two components: a fixed fee and a variable fee based on hours worked. The scenario states that the babysitter is paid a total of $30 each week, which is a flat fee, regardless of the hours she works. In addition to this flat weekly fee, there is a payment of $10 for each hour worked.

To formulate the payment function f(x), where x represents the number of hours worked, you start with the fixed payment of $30. Then, you add the variable payment which is $10 multiplied by x (the number of hours worked). This results in the equation:

f(x) = 30 + 10x

This clearly shows that the total payment consists of the baseline fee of $30 plus an additional $10 for every hour worked, effectively capturing the entire payment structure presented in the problem.