Exponential Functions — Test

Question 24 • Mathematics I

Which table shows exponential decay?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '12' Row 4: Column 1, '3'; Column 2, '9' Row 5: Column 1, '4'; Column 2, '7'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '4' Row 5: Column 1, '4'; Column 2, '2'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '12' Row 4: Column 1, '3'; Column 2, '8' Row 5: Column 1, '4'; Column 2, '4'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '16' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '3' Row 5: Column 1, '4'; Column 2, '1'

Explanation

Exponential decay means the y-values are multiplied by the same factor each time x increases by 1. In choice B, the values go from 16 to 8 to 4 to 2, so each value is multiplied by 1/2. Therefore, choice B shows exponential decay.

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