Chapter 6.8, Problem 15PPS

a.

To determine

To calculate: The dimensions of image when it is zoomedby 150%

Answer to Problem 15PPS

The dimensions of image when the zoom is 150% are $960pixelswideand720pixelshigh$

Explanation of Solution

Given information:

The Dimensions of digital photograph are 640 pixels wide and 480 pixels high.

Concept Used:

The dimensions after x % zoom is given as follows:

  $\text{New dimension }=\text{ Given dimension }\times \frac{x}{100}$

Calculation:

  $\begin{array}{l}\text{Width:}\text{}\text{640}\times \frac{150}{100}=960pixels\\ \text{Height}:\text{480}\times \frac{150}{100}=720pixels\end{array}$

Conclusion:

The dimensions of image when the zoom is 150% are $960pixelswideand720pixelshigh$

b.

To determine

To calculate:The scale factor to make the image 32 pixels wide.

Answer to Problem 15PPS

The scale factor to make the image 32 pixels wide is

  $\frac{1}{20}$

Explanation of Solution

Given information:

The Dimensions of digital photograph are 640 pixels wide and 480 pixels high.

Concept Used:

The scale factor is $\frac{\text{New}\text{dimension}}{\text{Given}\text{dimension}}$

Calculation:

The scale factor is: $\frac{32}{640}=\frac{1}{20}$

Conclusion:

The scale factor to make the image 32 pixels wide is

  $\frac{1}{20}$

c.

To determine

To calculate:The scale factor to make the image 600 pixels high

Answer to Problem 15PPS

  

  $\text{The scale factor to make the image 6}00\text{ pixels high is}$ 1.25

Explanation of Solution

Given information:

The Dimensions of digital photograph are 640 pixels wide and 480 pixels high.

Concept Used:

  $\text{The scale factor is}:\frac{\text{New}\text{dimension}}{\text{Given}\text{dimension}}$

Calculation:

  $\text{The scale factor is}:\frac{600}{480}=1.25$

Conclusion:

The scale factor to make the image 600 pixels high is 1.25