My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. How much money will Savannah have after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with a mathematical model of the problem situation.



Answer :

The amount of money Savannah will have after 10 days is $0.35

Convert penny to dollar

  • 1 penny = $0.01

Amount Savannah started with = 5 pennies

= $0.01 × 5

= $0.05

Additional amount per day = 3 pennies

= $0.01 × 3

= $0.03

  • Number of days = 10

Total savings in 10 days = 0.05 + 0.03(10)

= 0.05 + 0.3

= $0.35

Number of days it will take for her to have at least $1.50 = 0.05 + 0.03d

1.50 - 0.05 = 0.03d

1.45 = 0.03d

d = 1.45 / 0.03

d = 48.33333333333333

Approximately,

d = 48.33 days

Therefore, the number of days it will take for her to have at least $1.50 us 48.33 days

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