https://file.aiquickdraw.com/mathbot/file/17290907318482txigpxe.jpg

Let's walk through the solution step by step.

The problem gives a **scale of \( \frac{3}{4} \) inch = 2 feet**. You are asked how tall the drawing will be if your actual height is **5 feet**.

### Step 1: Write the proportion
We need to set up a proportion to relate the real height to the drawing height.

\[
\frac{3}{4} \, \text{inch} \, : \, 2 \, \text{feet} \, = \, x \, \text{inches} \, : \, 5 \, \text{feet}
\]

### Step 2: Solve the proportion
Using the property of proportions:

\[
\frac{3}{4} \div 2 = x \div 5
\]

Multiply both sides by 5:

\[
x = 5 \times \left(\frac{3/4}{2}\right)
\]

Simplify the fraction \( \frac{3/4}{2} \):

\[
\frac{3/4}{2} = \frac{3/4}{2/1} = \frac{3}{8}
\]

So:

\[
x = 5 \times \frac{3}{8} = \frac{15}{8} \, \text{inches}
\]

### Step 3: Convert \( \frac{15}{8} \) to a mixed number
\[
\frac{15}{8} = 1 \frac{7}{8} \, \text{inches}
\]

### Final Answer
The height of the drawing will be **1 \( \frac{7}{8} \) inches**.

Thus, the correct option is:

\[
\boxed{1 \frac{7}{8} \, \text{inches}}
\]

---

Would you like more details on any step or have any questions?  
Here are 5 related questions that build on this concept:

1. What if the scale were 1 inch = 3 feet? How tall would the drawing be for a 6-foot person?
2. How do you solve proportions when more complex fractions are involved?
3. What are some other common uses of proportions in real life (e.g., maps or blueprints)?
4. How would the answer change if the real height were given in inches rather than feet?
5. How can you check your answer when working with scale models?

**Tip:** When working with proportions, always ensure that the units on both sides of the ratio align to avoid mistakes!

Students in Mrs. Gardiner's math class were asked to produce a drawing of themselves using a scale 3/4 inch = 2 feet. If you are 5 feet tall, how tall will your drawing be?

Learn how to solve a scale proportion problem where the scale is 3/4 inch = 2 feet. This example teaches key concepts of ratios, fractions, and proportionality, ideal for students in Grade 6-8. Find out how to calculate the drawing height for a 5-foot tall student.

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