Summary: This is the answer page for the Optimization of a Function Module. The student will write and graph linear functions then use these functions to write a new function using the Pythagorean Theorem. The students will then find the minimum value of the new function using a graphing calculator.
Ship A is 360 kilometers east of Shipwreck Island traveling due west toward Shipwreck Island at a speed of 15 kilometers per hour (km/hr). Ship B is 45 kilometers north of Shipwreck Island traveling due north away from Shipwreck Island at a speed of 10 km/hr.
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The distance between Ship A and Ship B after 10 hours is
Ship B is 205 km from Shipwreck Island when Ship A is 120 km.
Ship A and Ship B are 171 km from Shipwreck Island after 12.6 hours.
Ship B is 285 km from Shipwreck Island when Ship A reaches Shipwreck Island.
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At approximately 15.230 hours, the distance between Ship A and Ship B is the least. The distance at this time is approximately 237.134 km.
To view the Optimization of Functions Student Page, click on the link below.