Chapter 11.7, Problem 16IP

a.

To determine

To find:Dimensions of the image.

Answer to Problem 16IP

Dimensions of the image are $960$ pixels wide and $720$ pixels high

Explanation of Solution

Given information:

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

Where $x$ represents the wide of the photograph in pixels

  $y$ represents the high of the photograph in pixels

Jung zooms the photo on his monitor $150\%$

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

As Jung zooms the photo on his monitor $150\%$

It means Wide and high of the photograph will increase by $150\%$ .

Therefore,

Final dimensions are $=\left(\frac{150}{100}\times x,\frac{150}{100}\times y\right)$

  $\Rightarrow$ Final dimensions are $=\left(1.5\times x,1.5\times y\right)$

  $\Rightarrow$ Final dimensions are $=\left(1.5\times 640,1.5\times 480\right)$

  $\Rightarrow$ Final dimensions are $=\left(960,720\right)$

Therefore,

Dimensions of the image are $960$ pixels wide and $720$ pixels high

b.

To determine

To find:Scale factor.

Answer to Problem 16IP

Scale factor $=\frac{1}{20}$

Explanation of Solution

Given information:

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

Where $x$ represents the wide of the photograph in pixels

  $y$ represents the high of the photograph in pixels

Wide of image $=32$ pixel

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

It means Wide of Original photograph is $640$ pixel

Wide of Image is $32$ pixel.

We know Scale factor if Wide of image divided by Wide of Original Photograph.

  $\Rightarrow$ Scale factor $=\frac{32}{640}$

  $\Rightarrow$ Scale factor $=\frac{1}{20}$

Therefore,

Scale factor $=\frac{1}{20}$

c.

To determine

To find: Scale factor.

Answer to Problem 16IP

Scale factor $=\frac{5}{4}$

Explanation of Solution

Given information:

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

Where $x$ represents the wide of the photograph in pixels

  $y$ represents the high of the photograph in pixels

Final high after resize $=600$ pixel

Dimensions of the photograph $=\left(x,y\right)=\left(640,480\right)$

It means High of Original photograph is $480$ pixel

Final high after resize $=600$ pixel

We know Scale factor is High after resize divided by High of Original Photograph.

  $\Rightarrow$ Scale factor $=\frac{600}{480}$

  $\Rightarrow$ Scale factor $=\frac{5}{4}$

Therefore,

Scale factor $=\frac{5}{4}$