Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Function Notation
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Exercise 32 Page 126

The balance on Day 2 is the greatest and the balance on Day 0 is the least.

See solution

Practice makes perfect

This exercise asks us to compare the output values of a function for different input values. Here, t represents the number of days and B(t) represents the balance in a bank account on day t. It is given that B(0)

  • B(0) represents the balance in the account on Day 0,
  • B(4) represents the balance in the account on Day 4,
  • B(2) represents the balance in the account on Day 2,

All together, the statement is saying that the balance on Day 0 is less than the balance on Day 4 and on Day 4 it's less than on Day 2. From this, we can gather than the balance on Day 2 is the greatest and the balance on Day 0 is the least.

Example situation

The following is one of infinitely many possible situations that can represent the given statement.

On Wednesday, the balance in your bank account is 200 dollars. On Friday, you deposit your paycheck of 500 dollars into the account. On Sunday, you withdraw 300 to pay bills and buy groceries.

The table below gives the account balance for each day.

Day t B(t) Balance B
Wednesday 0 B( 0) 200
Friday 2 B( 2) 700
Sunday 4 B( 4) 400

From the table, we can see that B(0)