The strength of a contact lens is given in units known as diopters, as well as in mm of arc. The table below is taken from a chart used by optometrists to convert diopters to mm of arc.

(a) Notice that as the diopters increase, the mm of arc decrease. Find a value of k so the function a = ƒ(d) =k/d gives the mm of arc, as a function of d, the strength in diopters. (Round k to the nearest integer. For a more accurate answer, average all the values of k given by each pair of data.)
(b) An optometrist wants to order 40.50 diopter lenses for a patient. The manufacturer needs to know the strength in mm of arc. What is the strength in mm of arc?

Transcribed Image Text:

Diopters 36.000 36.125 36.250 36.375 36.500 36.625 36.750 36.875 37.000 mm of Arc 9.37 9.34 9.31 9.27 9.24 9.21 9.18 9.15 9.12