Your parents would like to save money for you as a graduation gift. They have given you the two options below. Which option would you choose? Justify your choice. Option 1: 1 penny on the first week, then doubled each week Option 2: $100 each week Saving Pennies Part III: As your fund-raising plan, you decide to put 5 pennies in your box to encourage friends and family to contribute and set a goal to double your total number of pennies each day. Why would you choose to double your pennies each day, rather than add 100 pennies each day? What is the constant ratio that will define your exponential model? Write a rule for this sequence to determine the total number of pennies in the next day. Complete the table below so that you can model your plan for the class officers. Number of Total number of pennies (in T(d) days (d) expanded form) - T(d) 0 T(0)=5 1 2 3 4
Your parents would like to save money for you as a graduation gift. They have given you the two options below. Which option would you choose? Justify your choice. Option 1: 1 penny on the first week, then doubled each week Option 2: $100 each week Saving Pennies Part III: As your fund-raising plan, you decide to put 5 pennies in your box to encourage friends and family to contribute and set a goal to double your total number of pennies each day. Why would you choose to double your pennies each day, rather than add 100 pennies each day? What is the constant ratio that will define your exponential model? Write a rule for this sequence to determine the total number of pennies in the next day. Complete the table below so that you can model your plan for the class officers. Number of days (d) Total number of pennies (in expanded form) - T(d) T(d) 0 T(0)=5 1 2 3 4