Use this information for the following 2 questions:
The slope of a beach is influenced by the local tides, wind and wave patterns, and the size of the sand particles on the beach. In general, as the diameter in millimetres, d, of the average size of the particles on the beach increases, the slope of the beach, s, increases according to the formula:
s(d) = 0.149 + 0.128log d
Describe the graph of the function s(d) as compared to the graph of f (d) = log d using transformations terminology by filling in the blanks.
If the slope of a particular beach is 0.005 (about a 1-m vertical climb for every 200 m in the horizontal direction), determine the average diameter (in millimetres) of a grain of sand on the beach.
Solve graphically with your calculator or a website, or solve algebraically.
Round your answer to 4 decimal places.
