The richest family in town hires you to do two weeks of work landscaping their estate,...

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The richest family in town hires you to do two weeks of work landscaping their estate, but they're a little bit eccentric. Instead of just making an offer, they give you three choices of payment. With choice 1, you get a dime the first day, 30 cents the second day, 90 cents the third, and your pay triples every day until the 14th day. For choice 2, you get one dollar the first day, and your pay in dollars for any day is the square of the number of days into the job. For choice 3, your start out at $19 the first day, then $19 is added to the payment for each additional day until the 14 day. (a) Calculate how much money you would make in those 14 days with each option. (b) Which type of growth is illustrated by each option? The richest family in town hires you to do two weeks of work landscaping their estate, but they're a little bit eccentric. Instead of just making an offer, they give you three choices of payment. With choice 1, you get a dime the first day, 30 cents the second day, 90 cents the third, and your pay triples every day until the 14th day. For choice 2, you get one dollar the first day, and your pay in dollars for any day is the square of the number of days into the job. For choice 3, your start out at $19 the first day, then $19 is added to the payment for each additional day until the 14 day. (a) Calculate how much money you would make in those 14 days with each option. (b) Which type of growth is illustrated by each option?