Final answer:
The function describing Nick's remaining camera storage after a certain number of months is R(t) = 128 - 20t, where R(t) represents the remaining storage in gigabytes after t months.
Step-by-step explanation:
We can create a function to describe the storage scenario for Nick's camera. Let's define remaining storage as R, initial storage capacity of the camera as I, which is 128 GB, and the monthly usage as U, which is 20 GB per month. We can write the function as follows:
R(t) = I - U × t
Where:
- R(t) is the remaining storage after t months
- I is the initial storage, which is 128 GB
- U is the monthly usage, which is 20 GB
- t is the time in months since Nick started using the camera
Using this function, we can calculate the remaining storage after any given number of months. If Nick wants to know his storage capacity after 3 months of use, we would plug in 3 for t:
R(3) = 128 GB - (20 GB/month × 3 months) = 128 GB - 60 GB = 68 GB remaining