How many minutes will it take for a modem to transmit a message at a speed of 51200 bps to transmit a 800×600 color

How many minutes will it take for a modem to transmit a message at a speed of 51200 bps to transmit a 800×600 color raster image, given that the palette contains about 4 billion colors.

Find out how many bits are needed for a color in the palette.
The 32-bit palette supports exactly 4,294,967,296 colors.
Therefore, you need 32 bits per pixel.
Let’s get the total number of pixels in the image:
800 * 600 = 480,000 px
Now let’s multiply them by the number of bits per pixel:
480,000 * 32 = 15,360,000 bits – weighs the image.
Next, we divide this number by the baud rate to get the time.
15,360,000 / 51200 = 300 seconds
Answer: 300