Final answer:
An exponential decay graph is characterized by a decreasing curve that approaches a horizontal asymptote. The decay rate determines how quickly the curve approaches the asymptote. To shade the probability region, shade the area to the left of the corresponding x-value on the graph.
Step-by-step explanation:
Graph representing exponential decay:
An exponential decay graph is characterized by a decreasing curve that starts high and gradually approaches a horizontal asymptote (a line that the curve gets closer and closer to but never reaches). The decay rate in the exponential decay function determines how quickly the curve approaches the asymptote. Here's an example of an exponential decay graph:
In this graph, the x-axis represents time and the y-axis represents the quantity being decayed. The decay rate determines how steep the curve is and the mean is the value that the decay approaches as time goes to infinity.
To shade the area that represents the probability that one student has less than $0.40 in their pocket or purse, you would shade the region to the left of the corresponding x-value on the graph.