Question

The table below shows the weekly change in Lena’s bank account for four weeks.

Week change in bank balance (in $)
1. +10.25
2.-19.50
3.+6.75
4. -5.25

answer the questions using the table
1. What was the change in Lena's bank account from the beginning of week 1 to the end of week 4?
2. At the end of week 4, her bank balance was $46.25. What was her bank balance at the beginning of week 1?

Answer 1

The overall change in Lena's bank account from the beginning of week 1 to the end of week 4 was a decrease of $7.75. Lena's starting bank balance at the beginning of week 1 was $54.00.

Step-by-step explanation:

To find the overall change in Lena's bank account from the beginning of week 1 to the end of week 4, we need to sum the weekly changes. The changes by week are as follows:

• Week 1: +$10.25
• Week 2: -$19.50
• Week 3: +$6.75
• Week 4: -$5.25

The total change would be calculated by adding these together: (+$10.25) + (-$19.50) + (+$6.75) + (-$5.25) which equals -$7.75. So, the bank account decreased by $7.75 from the beginning of week 1 to the end of week 4.

To determine Lena's bank balance at the beginning of week 1, we have to consider her ending balance at the end of week 4, which was $46.25, and work backwards by adding the total change we found earlier. Thus, her starting balance would be $46.25 (end balance) + $7.75 (the negative change we need to reverse), giving us a starting balance of $54.00.