7/1/13 MATH 152 PROJECT 1 FUNCTIONS AND GRAPHS The B . ' rookdale cricket chirps at dlfferent rates depending on the temperature, For this cricket you can estimate the't ' ' ', I emperature In degrees Fahrenheit b t' times it chnps in 10 seconds and then adding 45. y coun mg the number Of The Brookale cricket is not the only animal whose activity level increases as the temperature Increases. The Green katydid 15 small, pale green and usually found on trees. For the katydid,you can estimate the temperature by counting the numb er of chirps in 30 seconds and adding 25. . a) Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale cricket you count the number of chirps in 10 seconds and for the katydid you count the number of chirps in 30 seconds. If c is the number of chirps per minute, what is the expression for the number of chirps for i) The Brookdale cricket in 10 seconds? ii) The katydid in 30 seconds? v b) Translate the "rule" for each animal into a function whose independent variable is c and whose dependent variable is T, temperature in degrees Fahrenheit. Identify which formula goes with which animal. c) If each animal chirps 100 times in a minute, what are the estimates of the temperature for each animal?'Show all substitutions into the formulas and identify the animal used to give the estimate. d) Without graphing, how do you know that the rules you found in part b) above represent linear filnctions? e) For each function specify a domain and corresponding range. Assume that most animals no longer chirp when the temperature is above 100 degrees. 0 Produce a graph of both functions on the same coordinate system. Label the horizontal and vertical axes with words and variables, and label the tick marks on each axrs. Label each graph with its equation and the name of the appropriate animal. 0) Give the practical meaning of the slope of each function in the context of the situation. 5 Write the answer in a complete sentence including units. - - . , Mr..-" .n '74 rlpm'PP. Fahrenheit. how many Chirps Win the Brogkdale "Fife?? ,. no .M'. dx: .. ' '0x + LI 6 "mm, SOX *. LB. L'JJ" . . al 'v z a. 'w "mmms-uru .u mum O":.I'lflsi..l ann, uc. "Mu (gm dw... mn- LQ'W A' l 1' 2.- vm..:uurvm. wflw".'- ..'a- m. ,. ,.., 4, "Mm".kms..9- au-" VA.;..0 . - - d "Mum ummuggu-u. nm... .. 4. u wmqmw'wta. 'yrvr . 'm. . WcmwnulmquvuMunu