he following data set involves exponential decay . Determine the missing value from the table.
x 1 2 3 4 5 6 7
y 6144 1536 384 96 find 6 1.5
Question 14 options:
36
55
24
48
To determine the missing value, we need to identify the pattern of exponential decay in the data set provided.
If we look at the data given in the table, we can see that each y-value is 1/4 of the previous y-value. This indicates that the decay factor is 1/4 for each step.
Starting with 6144 and dividing it by 4 successively, we get the following values:
6144 / 4 = 1536
1536 / 4 = 384
384 / 4 = 96
96 / 4 = 24
Therefore, the missing value should be 24.
So, the correct answer is:
24