Question

PLEASE HELP!!

The slope {S} of a beach is related to the average diameter {D} (In millimeters) of the sand particles on the beach by this equation:
S = 0.159+0.118logD
Use your graphing calculator to estimate the average diameter, D, of the sand particles for a beach whose slope, S, is 0.2.

Answer 1

For this case we have the following equation:
S = 0.159 + 0.118logD
Substituting S = 0.2 we have:
0.2 = 0.159 + 0.118logD
From here, we clear the value of D.
We have then:
0.2 - 0.159 = 0.118logD
logD = (0.2 - 0.159) / (0.118)
logD = 0.347457627
10 ^ (logD) = 10 ^ 0.347457627
D = 10 ^ (0.347457627)
D = 2.23 mm
Answer:
The average diameter, D, of the sand particles for a beach is:
D = 2.23 mm