Question

Match the description with the linear model \(y=10\) or the linear model \(y=10 x .\) Graph the model. You rent a life jacket for a flat fee of \(\$ 10 .\)

Short answer

The correct linear model matching the description is \(y=10\) and its graph is a horizontal line passing through the point (0,10).

Step-by-step solution

Identify the Right Model

From the exercise, you are renting a life jacket for a flat fee of 10 dollars, thus denoting a constant cost regardless of the units. This means the cost does not increase with the number of life jackets rented, implying that the cost remains constant. Hence, the correct linear model would be \(y=10\), which is a constant function.

Graph the Model

First, mark the point (0,10) on the graph, which signifies that when no life jackets are rented, the cost is 10 dollars. Then draw a horizontal line passing through this point across the graph, representing the constant cost of 10 dollars regardless of the number of life jackets rented. This line i.e., the graph, will not slope upwards or downwards, which visually represents the fact that the cost remains constant irrespective of the number of life jackets.