Question

Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the price of the coffee.

Short answer

The required graph is as follows.

Step-by-step solution

Describe the given information

It is required to sketch the graph of the amount of a particular brand of coffee sold versus the price of the coffee.

Draw the graph of the given condition

On the graph, represent the amount of coffee sold as \(y\) and the price of the coffee as\(x\).

The graph will start with a high \(y\)value, which will represent the large number of coffees sold if, the price \(x\) is low. The graph will start with some positive \(x\) value because it can be expected that the store will not give the coffee for free.

As the price of coffee continues to increase, the amount of coffee sold decreases until the coffee is so expensive that no one will buy any. Therefore, the graph will decrease until the amount sold become\(0\).

Draw the required graph as follows.