Raking Leaves: Linear, Exponential, and Quadratic Perspective 1) Mr. Wiggins gives his daughter Celia three choices of payment for raking leaves: Payment 1: Two dollars for each bag of leaves filled. Payment 2: She will be paid for the number of bags of leaves she rakes as follows: 2 cents for filling one bag, four cents for filling two bags, eight cents for filling three bags, and so on, with the amount doubling for each additional bag filled. Payment 3: She will be paid for the number of bags of leaves she rakes as follows: She gets three dollars for just showing up, then four dollars for one bag, seven dollars for two bags, twelve dollars for three bags, nineteen dollars for four bags, and so on. a) If Celia rakes enough leaves to fill 5 bags of leaves, which payment method should she go with? Explain why. b) If Celia rakes enough leaves to fill 14 bags, which payment method should she go with?