https://file.aiquickdraw.com/mathbot/file/172678466286019aduqb4.jpg

Let's work through the problem shown in the image.

### Part (a): What scale is being used for the image?
We are given that the image width on the monitor is **1.5 inches**, and the actual book's width is **9 inches**. The scale ratio can be written as:

\[
\text{Scale} = \frac{\text{actual width}}{\text{image width}} = \frac{9}{1.5} = 6
\]

So the scale is **1 inch on the screen = 6 inches in real life**.

### Part (b): How tall is the actual book?
The height of the book on the screen is **3 inches**. Using the same scale factor from part (a), we can calculate the actual height by multiplying the screen height by the scale factor:

\[
\text{Actual height} = 3 \times 6 = 18 \text{ inches}
\]

So, the actual height of the book is **18 inches**.

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Would you like further details or have any questions? Here are some related questions to expand on this:

1. What would the scale be if the image width was 2 inches instead of 1.5 inches?
2. How does the scale change if the actual width of the book is different?
3. How would you find the scale if the image and actual sizes were given in centimeters?
4. What would be the height on the screen if the actual height of the book were 24 inches?
5. How does the accuracy of a scale affect the representation of images in digital design?

**Tip**: When working with scales, remember that the scale factor is always the ratio of the actual size to the image size. You can apply this consistently for both width and height.

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide. What scale is being used for the image? How tall is the actual book?

Learn how to calculate the scale of an image of a book and determine the actual height based on the given width and height of the image. This problem focuses on ratios and scaling, suitable for students in Grades 5-7. Example: Image width is 1.5 inches, actual book width is 9 inches, and image height is 3 inches.

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