To determine the file size of the image in bytes, we will go through the following steps:
1. Identify the given values:
- Color depth: 16 bits per pixel
- Height of the image: 100 pixels
- Width of the image: 150 pixels
2. Calculate the total number of pixels in the image:
To find the total number of pixels, we multiply the height by the width:
[tex]\[
\text{Total pixels} = \text{Height} \times \text{Width} = 100 \times 150 = 15000 \, \text{pixels}
\][/tex]
3. Calculate the total number of bits needed to store the image:
Next, we multiply the total number of pixels by the color depth (16 bits per pixel):
[tex]\[
\text{Total bits} = \text{Total pixels} \times \text{Color depth} = 15000 \times 16 = 240000 \, \text{bits}
\][/tex]
4. Convert the total number of bits to bytes:
Since 1 byte is equal to 8 bits, we convert the total number of bits into bytes by dividing by 8:
[tex]\[
\text{Total bytes} = \frac{\text{Total bits}}{8} = \frac{240000}{8} = 30000 \, \text{bytes}
\][/tex]
So, the file size of the image is 30,000 bytes.
