Melia put the $20 her grandmother gave her for her tenth birthday into her piggy bank. each week after that she added her $1.50 allowance to the bank. a. write an equation to represent the mount of money is in melia's piggy bank after n weeks. b. on her 18th birthday, melia breaks open her piggy bank to use the money to buy supplies for college. how much does melia have to spend? show your work. (there are 52 weeks in a year) (not a multiple choice question)

a. .

b. $644    

Step-by-step explanation:

a. Let A(n) be total amount of money in Melia's piggy bank after n weeks.

We are told that Melia put the $20 her Grandmother gave her for her tenth birthday into her piggy bank. So 20 will be constant for our equation.

Each week after that she added her $1.50 allowance to the bank, so the amount of money in Melia's piggy bank after n weeks will be 1.50n.

Upon using our given information we can form an equation as: .

Therefore, the equation will represent the amount of money in Melia's piggy bank after n weeks.

b. Let us find amount of money in Melia's piggy bank, when Melia will turn 18.

Melia saved money for 18-10=8 years.

1 year = 52 weeks.

So 8 years = 52*8 weeks = 416 weeks.

Upon substituting n=416 in our equation we will get,

Therefore, Melia have $644 to spend on supplies for college.