A popular model of carry-on luggage lias a /engtil tilat is 10 inches greater than its

Chapter 3, Problem 61

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A popular model of carry-on luggage lias a /engtil tilat is 10 inches greater than its depth. Airline regulations require that the sum of the length, width. and depth cannot exceed 40 inches. 11rese conditions. with the assumption that this sum is 40 inches, can be modeled b.va function that gives the o,;olume of the luggage, V,in cubic inches, iJ! terms of its depth, x, in im:hes. V(x) X (x + 10) (40 - (x+ x + 10}]V(x) x(x + 10){30 - 2x) Use function V t.o solve rercises 61-62 If the volume o r the carry-on luggage is 2000 cubic inches,detem1ine two possibilities for its depth. Where necessary, round to the nearest tenth of an inch.