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Use the table to answer the question.

Years Amount
1 $1,080
2 $1,160
3 $1,240
The table shows the amount of money in a bank account after a certain number of years. What is the initial value?

$?

1 answer

To find the initial value (the amount of money in the bank account at year 0), we can observe the pattern in the amounts listed for each year.

From the table:

  • After 1 year, the amount is $1,080.
  • After 2 years, the amount is $1,160.
  • After 3 years, the amount is $1,240.

It looks like the amount increases by a fixed amount each year. The differences between the amounts year by year are:

  • From year 1 to year 2: $1,160 - $1,080 = $80
  • From year 2 to year 3: $1,240 - $1,160 = $80

This consistent increase of $80 per year suggests that we can find the initial value (amount at year 0) by subtracting $80 from the amount at year 1.

So, the initial value is: \[ 1,080 - 80 = 1,000 \]

Thus, the initial value is $1,000.