Question

The initial amount, a, is given by the y-intercept. On the graph, the y-intercept is (0,8). To find the decay factor, b, find the ratio of the consecutive y-values between the point (0,8) and the next point on the graph, (1,4):

A) b=1/2
B) b=2
C) b=1/4
D) b=4

Answer 1

The decay factor, b, is found by calculating the ratio of the consecutive y-values between the points (0,8) and (1,4), which is equal to 1/2.

Step-by-step explanation:

The decay factor, b, can be found by calculating the ratio of the consecutive y-values between the points (0,8) and (1,4). This ratio is equal to the decay factor. Let's calculate it:

• Ratio = y2/y1 = 4/8 = 1/2

So, the decay factor, b, is 1/2. Therefore, the correct answer is A) b=1/2.