A popular model of carry-on luggage has a length that is 10 inches greater than its depth. Airline regulations require that the sum of the length, width, and depth cannot exceed 40 inches. These conditions, with the assumption that this sum is 40 inches, can be modeled by a function that gives the volume of the luggage, V, in cubic inches, in terms of its depth, x, in inches.

Use function V to solve Exercises 61–62.

If the volume of the carry-on luggage is 1500 cubic inches, determine two possibilities for its depth. Where necessary, round to the nearest tenth of an inch.

Transcribed Image Text:

Volumo = V(x) V(x) = = longth (x + 10) x(x + 10)(302x) dopth . . width: 40 (dopth + longth) [40 (x + x + 10)] -