94 CHAPTER R Review of Basic Concepts (Modeling) Rowing Speed Olympic rowing events have one-, two-, four-, or eight-person crews, with each person pulling a single oar. Increasing the size of the crew increases the speed of the boat. An analysis of Olympic rowing events concluded that the approximate speed, s, of the boat (in feet per second) was given by the formula s = 15.1829 n, where n is the number of oarsmen. (Data from Townend, M. Stewart, Mathematics in Sport, Chichester, Ellis Horwood Limited.) 159. Estimate the speed of a boat with a four-person crew to the nearest tenth. 160. Estimate the speed of a boat with an eight-person crew to the nearest tenth. (Modeling) Windchill The National Weather Service has used the formula Windchill temperature = 35.74 + 0.6215T - 35.75V0.16 + 0.4275TV0.16, where T is the temperature in °F and V is the wind speed in miles per hour, to calculate windchill. (Data from National Oceanic and Atmospheric Administration, National Weather Service.) Use the formula to calculate the windchill to the nearest degree given the following conditions. 161. 10°F, 30 mph wind 162. 30°F, 15 mph wind Chapter RTest Prep Key Terms R.1 fraction numerator denominator proper fraction improper fraction lowest terms mixed number reciprocal decimal terminating decimal repeating decimal percent R.2 set elements (members) infinite set finite set Venn diagram disjoint sets number line coordinate coordinate system R.3 absolute value sum difference product quotient additive inverse (opposite) multiplicative inverse (reciprocal) dividend divisor algebraic expression exponential expression (exponential) base exponent R.5 term numerical coefficient (coefficient) like terms polynomial polynomial in x trinomial binomial monomial degree of a term degree of a polynomial descending order difference of squares perfect square trinomial R.6 factoring factors factored form prime polynomial factored completely greatest common factor (GCF) difference of cubes sum of cubes R.7 rational expression domain of a rational expression lowest terms least common denominator (LCD) complex fraction R.8 radicand principal nth root negative root like radicals unlike radicals conjugates
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