SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
[tex]\begin{gathered} initial\text{ fee}=30\text{ dollars which is the constant} \\ additional\text{ hourly rate implies that the slope is positive and goes up} \end{gathered}[/tex]
STEP 2: Give example of graphs with positive slopes
The increment in the hourly rate implies that the graph will follow the positive slope pattern, this eliminates graph X and graph Z
Recall that we said the y-intercept will be the constant which is the initial fee of $30, this means that the graph will start from 30$ as seen in the graph Y.
Hence, answer is graph Y
