Question

hich table shows exponential decay?

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.

Answer 1

The first table: x = 1,2,3,4 with y = 16, 8, 4, 2.

Reason: successive y-values have a constant ratio 1/2 (<1), so it's exponential decay. (One formula: y = 16*(1/2)^{x-1}.)