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# 1.10 - 1.10 Modeling with Functions 1 Construct functions...

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Unformatted text preview: 1.10 Modeling with Functions 1. Construct functions from verbal descriptions. 2. Construct functions from formulas. Express the area of the fenced in area as a function of one of its dimensions. _ A (X ): trio PX ) X An open box is made from a square piece of cardboard 8 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. A coupon book for a bridge costs \$24 per month. The toll for the bridge is normally \$3.00, but it is reduced to \$1.50 for people who have purchased the coupon book. Express the total monthly cost to use the bridge without a coupon book, ﬂ as a function of the number of times in a month the bridge is crossed, x. Express-Ether monthly costto use With-a coupon mickey" , as a function of the number of times in a month the bridge is crossed, x. Determine the number of times in a month the bridge must be crossed so thatthe costwithout the coupon book is the sameas the total monthly cost with the coupon book \$00: ‘F’vx On a certain route. an airline carries 5000 passengers per month, each paying \$80.A market survey indicates that for each \$1 decrease in the ticket price, the airline will gain 50 passengers. Express the number of passengers per month, N, as a function of}? the ticket price, 3:. Express the monthly revenue for the route, R, as a function of the ticket price, x. WU): Goon-e L30 (sch-X ) R :7 60170 4 0000 w 1'50 X UH: F00 #5101) X A new running track is to be constructed in the shape of a rectangle with semicircles at each end. The track is to be 880 yards long. Express the area of the region enclosed by the track, A, as a function of its radius, r. (For a picture, look at Exercise 27 in the Practice and Application Exercises.) ...
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