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Question: 52 if w is inversely proportional to the square of...

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52. If w is inversely proportional to the square of v and w 36 when v 5, write the formula for w 53. The distance between Austin and Georgetown is 30 miles. Ramon bikes part of the way at an average speed of 20 mi/hr. Then he jogs the rest of the way at an average speed of 6 mi/hr. Let r be the distance that Ramon rides his bike and write the formula for the function that give the total time for Ramons trip. $4. An 8 foot long ladder is leaned against the side of a two-story house. Let x be the distance between the bottom of the house and the bottom of the ladder. Write the formula for the function f(x) that gives the height (distance above the ground) at which the top of the ladder touches the houses. 55. A rectangular sheet of cardboard is 8 inches by 10 inches. Squares are cut out of each corner of the cardboard so that the cardboard can be folded to form an open box. Let x be the length of a side of the squares. Write the formula for the function Ax) that gives the volume of the box that can be formed by folding the resulting sheet of cardboard. 56. In 1990, the population of a small town was 2800. Each year since 1990, the population of the town has increased by 6%. Determine the formula for a function PO) that gives the population of the town r years after 1990.
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