Question

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)

Answer 1

Answer: a) Equation y= 20+ 1.50n.

b) Melia have $644 to spend on her 18th birthday.

Step-by-step explanation: We are given that Melia put $20 initially in piggy bank.

Each week amount added in piggy bank = $1.50.

Let us assume total number of weeks be n Melia added amount in piggy bank and get y amount after n weeks.

a) Therefore, total amount after n weeks = Initial amount + 1.50 times n weeks.

y= 20+ 1.50n.

b) On 18th birthday, there would be total 8 years after 10th birthday.

And in 8 years there would be 52 × 8 = 416 weeks.

So, in order to find the total amount after 8 years or 416 weeks, we need to plug n= 416 in the equation we got in a part.

Therefore,

y = 20+ 1.50(416)

y = 20 + 624 = 644.

Therefore,  Melia have $644 to spend on her 18th birthday.