Final answer:
The exponential decay model y=1.5(0.5)^x has points (0, 1.5) and (1, 0.75) lying on its graph.
Step-by-step explanation:
To graph the exponential model y=1.5(0.5)^x, we start by identifying that this is an exponential decay function because the base of the exponent, 0.5, is between 0 and 1.
To find a point that lies on the graph, we can plug in a value for x and solve for y. For example, if we choose x = 0, we get y = 1.5(0.5)^0 = 1.5(1) = 1.5. Therefore, the point (0, 1.5) lies on the graph. As another example, if x = 1, then y = 1.5(0.5)^1 = 1.5(0.5) = 0.75, so the point (1, 0.75) also lies on the graph.