The length of y is 15 inches. The length of x is 10inches. The scale factor of y to x is?

To find the scale factor of \( y \) to \( x \), you use the formula:

\[
\text{Scale Factor} = \frac{y}{x}
\]

Given that:
- \( y = 15 \, \text{inches} \)
- \( x = 10 \, \text{inches} \)

Substitute the values into the formula:

\[
\text{Scale Factor} = \frac{15}{10} = 1.5
\]

So, the scale factor of \( y \) to \( x \) is \( 1.5 \).

Do you need more details or have any other questions?

Here are 5 related questions to explore:
1. What would be the scale factor of \( x \) to \( y \)?
2. If the length of \( y \) was doubled, what would the new scale factor be?
3. How does changing the scale factor affect the dimensions of similar figures?
4. What is the scale factor if \( y = 20 \, \text{inches} \) and \( x = 5 \, \text{inches} \)?
5. How do you find the scale factor between two similar objects?

**Tip:** When the scale factor is greater than 1, the object is enlarged. When it's less than 1, the object is reduced.

The length of y is 15 inches. The length of x is 10 inches. The scale factor of y to x is?

Learn how to calculate the scale factor between two lengths, 15 inches and 10 inches. This problem involves using the ratio formula Scale Factor = y / x. The solution walks through finding the scale factor step-by-step. Suitable for Grades 6-8 students exploring proportions and ratios.

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