......................

An island is

n island is .13 mi due north of its closest point along a straight shoreline. Aguard is staying at a cabin on the shore that is 8 mi west of that point. The guard is planning to go from the cabin to the island. Suppose the guard runs at a rate of 4 mi/h and swims at a rate of 2 mi/h. See figure below. Stra&ht Find The expression for the Total time, T, it takes the guard to reach the island as a function of running distance X. How far should the guard run before swimming to minimize the Total time it takes to reach the island? Select all that apply The minimum distance the guard will run to reach the island is 10 mi The expression of the Total time is T CK) + 2 The minimum distance the guard will run to reach the island is 7 mi The expression of the Total time is T (X) The expression of the Total time ts T(x) x 4 6 The minimum distance the guard will run to reach the island is 6