Question

Michael's bank account opened with $100. 5 weeks after opening, his account balance was $250.
At this rate, how much money will he have 10 weeks after opening the account?

Answer 1

To determine how much money Michael will have 10 weeks after opening his bank account, we first need to figure out the rate at which his account balance is increasing.

1. **Initial balance**: $100
2. **Balance after 5 weeks**: $250
3. **Increase in balance over 5 weeks**:

\[
250 - 100 = 150
\]

4. **Rate of increase per week**:

\[
\text{Rate} = \frac{150}{5} = 30
\]

This means Michael's account is increasing by $30 each week.

5. **Total time after opening the account**: 10 weeks.

6. **Total increase over 10 weeks**:

\[
\text{Increase over 10 weeks} = 30 \times 10 = 300
\]

7. **Total balance after 10 weeks**:

\[
\text{Total balance} = 100 + 300 = 400
\]

Therefore, 10 weeks after opening the account, Michael will have **$400**.