Question

Roy plans to go boating over the weekend the boating club charges an initial fee of $30 to rent a boat with an additional hourly rate for each hour the boat is in use

Answer 1

Graph W is the only graph that accurately represents the situation where Roy has to pay an initial fee of $30 to rent a boat with an additional hourly rate for each hour the boat is in use.

The graph that correctly represents the situation is Graph W.

Here's why:

Graph W has a fixed cost of $30 represented by the horizontal line at $30 on the y-axis. This corresponds to the initial fee that Roy has to pay regardless of how many hours he rents the boat for.

Graph W also has a linearly increasing cost as the number of hours increases. This is represented by the diagonal line. The slope of this line represents the hourly rate that Roy has to pay.

The other graphs do not accurately represent the situation:

Graph X has a fixed cost, but the cost per hour decreases as the number of hours increases. This is not consistent with the scenario where Roy has to pay an additional hourly rate.

Graph Y has a fixed cost and a constant hourly rate, but the cost does not start at $30. This is not consistent with the scenario where Roy has to pay an initial fee of $30.

Graph Z has a cost that decreases as the number of hours increases. This is not consistent with the scenario where Roy has to pay an additional hourly rate.

Answer 2

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

`\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}`

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