Question

Aaron and Isaac both delivered pizzas, and they made a bet that each of them would deliver 100 pizzas in one week before the other. During Aaron's first week, he delivered 3 pizzas. During his second week, he delivered 6. During his third week, he delivered 12, and during his 4th week, 24. Isaac on the other hand, had better success. During his first week, he delivered 52. During his second week, he delivered 59. During his third week, he delivered 66, and during his 4th week, 73. If both boys continue to increase their deliveries at this rate, who will win the bet? Justify your solution.

Answer 1

Aaron will win the bet if they continue to increase their deliveries at the same rate.

Explanation:

Isaac started out delivering twice as much as Aaron did on his fourth week. By week 4, Isaac had delivered a total of 250 pizzas, while Aaron had only delivered 45. However, Aaron's output is doubling each week, while Isaac is only delivering 7 more each week. During week 5, Aaron will deliver 48 pizzas, and Isaac will deliver 80. During week 6, Aaron will deliver 96 pizzas, and Isaac will deliver 87. During week 7, Aaron will deliver 192 pizzas, and Isaac will deliver 94.