QuestionAn image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

Studdy Solution

STEP 1

Assumptions1. The image of the book on the website is a scaled down version of the actual book. . The width of the image is1.5 inches and the height is3 inches.
3. The actual width of the book is9 inches.
4. The scale is uniform, meaning the width and height are scaled down by the same factor.
PART A

STEP 2

First, we need to find the scale being used for the image. We can do this by dividing the width of the image by the actual width of the book.
$Scale = \frac{Width\, of\, the\, image}{Actual\, width\, of\, the\, book}$

STEP 3

Now, plug in the given values for the width of the image and the actual width of the book to calculate the scale.
$Scale = \frac{1.5\, inches}{9\, inches}$

STEP 4

Calculate the scale.
$Scale = \frac{1.\, inches}{9\, inches} =0.1667$ The scale being used for the image is0.1667.
PART B

STEP 5

Now, we need to find the actual height of the book. We can do this by dividing the height of the image by the scale.
$Actual\, height\, of\, the\, book = \frac{Height\, of\, the\, image}{Scale}$

STEP 6

Now, plug in the given values for the height of the image and the scale to calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.166}$

STEP 7

Calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.1667} =18\, inches$ The actual height of the book is18 inches.

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QuestionAn image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

Studdy Solution

STEP 1

STEP 2

First, we need to find the scale being used for the image. We can do this by dividing the width of the image by the actual width of the book.
$Scale = \frac{Width\, of\, the\, image}{Actual\, width\, of\, the\, book}$

STEP 3

Now, plug in the given values for the width of the image and the actual width of the book to calculate the scale.
$Scale = \frac{1.5\, inches}{9\, inches}$

STEP 4

Calculate the scale.
$Scale = \frac{1.\, inches}{9\, inches} =0.1667$ The scale being used for the image is0.1667.
PART B

STEP 5

Now, we need to find the actual height of the book. We can do this by dividing the height of the image by the scale.
$Actual\, height\, of\, the\, book = \frac{Height\, of\, the\, image}{Scale}$

STEP 6

Now, plug in the given values for the height of the image and the scale to calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.166}$

STEP 7

Calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.1667} =18\, inches$ The actual height of the book is18 inches.

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QuestionAn image is 1.5 inches wide and 3 inches tall; the actual book is 9 inches wide. What is the scale? How tall is the actual book?

Studdy Solution

STEP 1

Assumptions1. The image of the book on the website is a scaled down version of the actual book. . The width of the image is1.5 inches and the height is3 inches.3. The actual width of the book is9 inches.4. The scale is uniform, meaning the width and height are scaled down by the same factor.PART A

STEP 2

STEP 3

Now, plug in the given values for the width of the image and the actual width of the book to calculate the scale.Scale=1.5 inches9 inchesScale = \frac{1.5\, inches}{9\, inches}Scale=9inches1.5inches​

STEP 4

Calculate the scale.Scale=1. inches9 inches=0.1667Scale = \frac{1.\, inches}{9\, inches} =0.1667Scale=9inches1.inches​=0.1667The scale being used for the image is0.1667.PART B

STEP 5

Now, we need to find the actual height of the book. We can do this by dividing the height of the image by the scale.Actual height of the book=Height of the imageScaleActual\, height\, of\, the\, book = \frac{Height\, of\, the\, image}{Scale}Actualheightofthebook=ScaleHeightoftheimage​

STEP 6

Now, plug in the given values for the height of the image and the scale to calculate the actual height of the book.Actual height of the book=3 inches0.166Actual\, height\, of\, the\, book = \frac{3\, inches}{0.166}Actualheightofthebook=0.1663inches​

STEP 7

Calculate the actual height of the book.Actual height of the book=3 inches0.1667=18 inchesActual\, height\, of\, the\, book = \frac{3\, inches}{0.1667} =18\, inchesActualheightofthebook=0.16673inches​=18inchesThe actual height of the book is18 inches.

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Now, plug in the given values for the width of the image and the actual width of the book to calculate the scale.
$Scale = \frac{1.5\, inches}{9\, inches}$

Calculate the scale.
$Scale = \frac{1.\, inches}{9\, inches} =0.1667$ The scale being used for the image is0.1667.
PART B

Now, we need to find the actual height of the book. We can do this by dividing the height of the image by the scale.
$Actual\, height\, of\, the\, book = \frac{Height\, of\, the\, image}{Scale}$

Now, plug in the given values for the height of the image and the scale to calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.166}$

Calculate the actual height of the book.
$Actual\, height\, of\, the\, book = \frac{3\, inches}{0.1667} =18\, inches$ The actual height of the book is18 inches.