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The question is asking how much money will be in the account after 1 year, based on the function provided:

\[
h(x) = 10x + 150
\]

Where:
- $x$ represents the number of months.
- The initial deposit is $150, and an additional $10 is deposited each month.

Since 1 year equals 12 months, we substitute $x = 12$ into the equation to find the amount of money after 1 year:

\[
h(12) = 10(12) + 150 = 120 + 150 = 270
\]

So, the correct answer is $h(12) = 270$, which corresponds to the first option.

Would you like any more details or have further questions?

Here are 5 follow-up questions to deepen your understanding:
1. How would the total amount change if the monthly deposit increased to $20?
2. What if the initial deposit was $200 instead of $150? How would that affect the formula?
3. Can you write a similar function if deposits were made weekly instead of monthly?
4. How much money would be in the account after 6 months?
5. What happens to the formula if the monthly deposits stop after a certain period?

**Tip:** Understanding how to substitute values into functions is essential for solving real-world problems like savings growth over time.

The function h(x) = 10x + 150 represents the amount of money in a savings account that had an opening deposit of $150 and then receives a deposit of $10 every month. How much money is in the account after 1 year?

This problem involves solving the linear function h(x) = 10x + 150, where the initial deposit is $150 and $10 is added each month. Learn how to find how much money will be in the account after 1 year (12 months). Suitable for Grades 7-8.

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