HELP EARTH QUAKE QUESTION !! please help!!! ill give you 5 stars!!?

Question

assume an earthquake wave has a frequency of 2 Hz. Seismic velocities in the rock of your area range from 1000 m/s to
10 000 m/s. construct a graph of wavelength versus seismic velocity for your area, To do this remember
velocity = wavelength x frequency

If a building is safe from earthquake damage ONLY if it is shorter that one-fifth of a wavelength, what is the largest building you can build in the area

PLEASE HELPPP!P!P!P!P!P!P!P!!P!P!PP!!

Answer 1

You want wavelength as function of velocity, so express the function this way

L = V/f

f = 2 sec^-1, so L = 0.5*V. This is a linear equation, so the graph is a straight line. You only need two points to plot the graph. You are given the extreme velocities of 1000 m/sec and 10,000 m/sec, and these are as good as any to establish your graph line

L(1000) = 500 m
L(10,000) = 5000 m

On an x-y graph place a point at x = 1000 and y = 500, and also at x = 10000 and y = 5000. Join the points with a line, and label the x-axis "velocity (m/sec)" and the y-axis "wavelength (m)".

The largest building is determined by the smallest wavelength. The smallest wavelength is 500 m, so the largest building is 1/5 times this or 100 m