Q4. Georgia is a wedding photographer. She wants to store 10 photographs on a USB flash memory drive for a customer. Each photograph is 100 pixels wide and 50 pixels high. The photographs are 8 -bit color photographs. (a) Calculate the total file size, in kilobytes (kB), of all the photographs. Show all your working.

To calculate the total file size of the photographs, we need to determine the size of a single photograph first and then multiply that by the number of photographs. 1. **Calculate the size of one photograph:** - Each photograph has a resolution of 100 pixels wide and 50 pixels high. - The total number of pixels in one photograph is: \[ \text{Total pixels} = \text{Width} \times \text{Height} = 100 \, \text{pixels} \times 50 \, \text{pixels} = 5000 \, \text{pixels} \] 2. **Calculate the size in bytes:** - Each pixel is represented using 8 bits (1 byte = 8 bits). - Therefore, the size of one photograph in bytes is: \[ \text{Size in bytes} = \text{Total pixels} \times \text{Bytes per pixel} = 5000 \, \text{pixels} \times 1 \, \text{byte/pixel} = 5000 \, \text{bytes} \] 3. **Calculate the total size for 10 photographs:** - The total size for 10 photographs is: \[ \text{Total size in bytes} = \text{Size of one photograph} \times \text{Number of photographs} = 5000 \, \text{bytes} \times 10 = 50000 \, \text{bytes} \] 4. **Convert bytes to kilobytes:** - To convert bytes to kilobytes, we divide by 1024 (since 1 kB = 1024 bytes): \[ \text{Total size in kB} = \frac{50000 \, \text{bytes}}{1024} \approx 48.828125 \, \text{kB} \] 5. **Final result:** - Rounding to two decimal places, the total file size of all the photographs is approximately: \[ \text{Total file size} \approx 48.83 \, \text{kB} \] Thus, the total file size of all 10 photographs is approximately **48.83 kB**.