Dimensional Analysis and Exponential Models Module(approximately 1.5 weeks)Topics and Objectives1. Dimensional Analysis (1 hr)a. Convert from one unit to another unit.2. Exponential Functions and Their Inverses (1 hr)a. Evaluate a function at a given value.b. Match an exponential function to its graph.3. Exponential Growth and Decay (1.5 hr)a. Solve applications problems involving exponential growth and decay.Possible Test QuestionsCEGM1-aTM1. There are 7 dweebs in a twerp and 4 twerps in a geek.a) Convert 9 geeks to dweebs. Give exact answers.b) Convert 192 cubic twerps to cubic geeks. Give exact answers.TM2. There are 7 dweebs in a twerp and 4 twerps in a geek. There are 6 springs in a river.a) Convert 60 dweebs per spring to twerps per rivers. Give exact answers.b) Convert 25 twerps per square river to dweebs per square spring. Give exact answers.CEGM 2-aTM1. Use a calculator to estimate e0.12 with four decimal place accuracy.A. 1.1275B. -2.1203C. 1.3183D. -0.9208E. none of the choices above are correctTM2. Use a calculator to estimate ln12 to four decimal place accuracy.A. 1.0792B. 162754.7914C. 12.0000D. 2.4849E. none of the choices above are correctTM3. The population of caribou in a particular wilderness area is given by the function P(t ) 326e0.032t where t is measured in years since 1970. What will the cariboupopulation be in 2010?A. 13,050B. 1173C. 4D. 13,464E. none of the choices above are correctCEGM 2-bTM1. Match the following functions with their graphs.a. y ae3tb. y ae 1.75tc. y ae0.75tI II IIIA. a-I; b-II; c-IIIB. a-III; b-II; c-IC. a-III; b-I; c-IID. a-I; b-II; c-IIIE. none of the choices above are correctCEGM 3-aTM1. A bacteria culture doubles every hour. Find the model and use it to estimate the bacteria population in 5 hours 20 minutes if the culture initially contained 50 bacteria.A. 17,523B. 1838C. 2016D. 15,136E. none of the choices above are correctTM2. The population of caribou in a particular wilderness area is given by the function P(t ) 326e0.032t where t is measured in years since 1970. What is the initial population of caribou?A. 1B. 10C. 326D. 163E. none of the choices above are correctTM3. The population of caribou in a particular wilderness area is given by the function P(t ) 326e0.032t where t is measured in years since 1970. What will the cariboupopulation be in 2010?A. 13,050B. 1173C. 4D. 13,464E. none of the choices above are correctTM4. The population of caribou in a particular wilderness area is given by the function P(t ) 326e0.032t where t is measured in years since 1970. What is the relative growth rate of this caribou population?A. .032%B. 1.032%C. 3.4199%D. 3.2%E. none of the choices above are correctTM5. Technetium 99m is a radioactive substance introduced into the blood stream for medical imaging. The half-life of Technetium 99m is 4 hours. If 30 cc are administered, when will there be 5 cc in the blood? Use four decimal places for computations and answers.NOTE: The following provided problems:Terri Miller
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