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The question asks how many months it will take for Michael to be tall enough to ride the amusement park ride. Here's the information we are given:

- Michael is currently **42 inches** tall.
- He needs to be **at least 48 inches** to ride.
- He grows **¾ inches per month**.

To solve this, we first need to find how many inches Michael needs to grow:

\[
48 - 42 = 6 \text{ inches}
\]

Next, since he grows **¾ inches per month**, we can calculate how many months it will take for him to grow those 6 inches by dividing the total inches by his growth per month:

\[
\frac{6}{\frac{3}{4}} = 6 \times \frac{4}{3} = 8 \text{ months}
\]

So, Michael needs to wait **8 months** to be tall enough to ride.

Now, let's evaluate the options:

1. He needs to wait less than 8 months – **False**.
2. He needs to wait at least 4.5 months – **True** (but not specific).
3. He needs to wait less than 4.5 months – **False**.
4. He needs to wait at least 8 months – **Correct**.

The correct answer is **"He needs to wait at least 8 months."**

---

Do you have any questions or want more details on this? Here are some related questions you might consider:

1. What if Michael's growth rate changed to 1 inch per month?
2. How would the answer change if the required height was 50 inches?
3. What is the minimum growth rate for Michael to ride within 6 months?
4. How many inches would Michael grow in a year?
5. What percentage of his current height is the 6-inch growth?

**Tip:** When dealing with rate and growth problems, setting up a clear proportion or ratio can help you solve them more quickly!

An amusement park ride requires that riders are at least 48 inches tall to ride. Michael is 42 inches tall and grows about 3/4 of an inch each month. How many months will it be until Michael can ride the rides at the park?

Learn how to calculate when Michael will be tall enough to ride an amusement park ride. Michael is 42 inches tall and grows 3/4 inch per month. How many months will it take for him to reach the required height of 48 inches? Suitable for Grade 5-6 students.

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