If the amplitude of a large quake is 1,000 times greater than the amplitude of a smaller quake, what is the difference in their magnitudes on the richter scale? use the following formula to find the difference, where ml and ms represent the magnitudes of the larger and smaller quakes, respectively, and al and as represent the amplitudes of the larger and smaller quakes, respectively.
the formula is m(l)-m(s)=log(a(l)/a(s))

The difference between the magnitudes of the earthquakes is 3.

Step-by-step explanation:

We are given that,

The amplitude of large earthquake is 1000 times the amplitude of small earthquake.

That is,

It is required to find the difference between magnitudes of the larger and smaller earthquakes.

We have the formula,

i.e.

i.e.

i.e.

Thus, the difference between the magnitudes of the earthquakes is 3.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

step-by-step explanation: