A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. 5 mi 12mi- a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function? T=O (Type an expression.) The interval of interest of the objective function is D. (Simplify your answer. Type your answer in interval notation.) To minimize the total travel time, the boat should land miles from the restaurant. (Type an exact answer, using radicals as needed.)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.