Answer:
a. [tex]A(n)=1.50n+20[/tex].
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: [tex]A(n)=1.50n+20[/tex].
Therefore, the equation [tex]A(n)=1.50n+20[/tex] 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,
[tex]A(416)=(1.50\times 416)+20[/tex]
[tex]A(416)=624+20[/tex]
[tex]A(416)=644[/tex]
Therefore, Melia have $644 to spend on supplies for college.
