UCSS Math III 4B.1.3 Example 3

The formula for a standard earthquake-body wave scale, , is given by , in which is the amplitude of the ground motion in microns meter), is the period of the wave, and is a correction constant. Determine a formula for the frequency of the earthquake wave if the frequency is defined as the reciprocal of the wave period. Rearrange the formula to find the range of values for when the range of values is [4, 5] seconds. Then, rearrange the formula to find the range of values of for when the range of values of is [6, 9], the range of values is [4, 5] seconds, and .