Jerry plans to begin saving money for a trip by putting $1 in a savings account the first month and then adding enough to double the amount in the account each following month. 1 I a. After he finishes contributing to the account, he will withdraw $500 to make a down payment on the trip. Create a function to show how much money will be in the account if he finishes contributing to the account after t months.

Function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

What is function?

" Function is defined as relation between variables is such that for each input value there exist one and only one output."

According to the question,

Given,

Amount in the account

Frist month [tex]= \$1[/tex]

[tex]= 2^{1-1}[/tex]

As per given condition,

second month [tex]= \$2[/tex]

[tex]= 2^{2-1}[/tex]

Third month [tex]= \$4[/tex]

[tex]= 2^{3-1}[/tex]

.........

Amount in the account in [tex]'t'[/tex] months [tex]= 2^{t-1}[/tex]

Jerry withdraw [tex]\$500[/tex] to make a down payment on the trip.

[tex]'A'[/tex] represents the total amount left in the account

Required function as per given condition,

[tex]A = 2^{t-1} -500[/tex]

Hence, function representing the amount of money as per given condition in the account after [tex]t[/tex] months is equals to [tex]A= 2^{t-1} -500[/tex].

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