John is a photographer and he is practicing the 19th technique called the “Collodion process” producing ambrotypes. In this process he has to be very precise with the timing of the use of the various chemicals. In order to perfect his technique, he created several mathematical models relating the time that he applies the various chemicals to the sharpness of his images. The model function that he created for Ethyl ether is S(t) = 12 10 × 1.2− t. a Find the initial value of the sharpness. b Find how long it will take for the sharpness to drop to 15. For another chemical Ethyl alcohol, the sharpness is 2 units higher than with Ethyl ether. c Use graph transformations to determine the function for Ethyl alcohol. For another chemical, nitrocellulose the sharpness is the same as with Ethyl ether but takes double the time. d Use graph transformations to determine the function for nitrocellulose. For a nal chemical that he uses, iodide, the sharpness is double that of Ethyl ether. e Use graph transformations to determine the function for iodide.
