101) Law enforcement agencies use a computerized system called AFIS (Automated Fingerprint Identifi cation System) to identify fi ngerprints found at crime scenes. One AFIS system can compare 30,000 fi ngerprints per second. The function F(s) 30s describes how many fi ngerprints, F(s) in thousands, are compared after s sec. a) How many fi ngerprints can be compared in 2 sec? b) How long would it take AFIS to search through 105,000 fi ngerprints? 102) Refer to the function in Exercise 101 to answer the following questions. a) How many fi ngerprints can be compared in 3 sec? b) How long would it take AFIS to search through 45,000 fi ngerprints? 103) Refer to the function in Example 10 on p. 207 to determine the following. a) Find S(50), and explain what this means in the context of the problem. b) Find S(180), and explain what this means in the context of the problem. c) Find t so that S(t) 2646, and explain what this means in the context of the problem. 104) Refer to the function in Exercise 99 to determine the following. a) Find D(10), and explain what this means in the context of the problem. b) Find D(120), and explain what this means in the context of the problem. c) Find t so that D(t) 633.9, and explain what this means in the context of the problem. 97) If gasoline costs $3.50 per gallon, then the cost, C (in dollars), of fi lling a gas tank with g gal of gas is defi ned by C(g) $3.50g a) Find C(8), and explain what this means in the context of the problem. b) Find C(15), and explain what this means in the context of the problem. c) Find g so that C(g) 42, and explain what this means in the context of the problem. 98) Jenelle earns $7.50 per hour at her part-time job. Her total earnings, E (in dollars), for working t hr can be defi ned by the function E(t) 7.50t a) Find E(10), and explain what this means in the context of the problem. b) Find E(15), and explain what this means in the context of the problem. c) Find t so that E(t) 210, and explain what this means in the context of the problem. 99) A 16 DVD recorder can transfer 21.13 MB (megabytes) of data per second onto a recordable DVD. The function D(t) 21.13t describes how much data, D (in megabytes), is recorded on a DVD in t sec. (www.osta.org) a) How much data is recorded after 12 sec? b) How much data is recorded after 1 min? c) How long would it take to record 422.6 MB of data? d) Graph the function. 100) The average hourly wage of an embalmer in Illinois in 2011 was $25.06. Seth’s earnings, E (in dollars), for working t hr in a week can be defi ned by the function E(t) 25.06t. (www.bls.gov) a) How much does Seth earn if he works 30 hr? b) How much does Seth earn if he works 27 hr? c) How many hours would Seth have to work to make $877.10? d) If Seth can work at most 40 hr per week, what is the domain of this function? e) Graph the function. 212 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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