Question

Pam has 128 gigabytes of photos stored on a flash drive, and she wants to transfer more pictures to it from her computer. Her flash drive's data transfer rate is about 0.625 gigabytes per second. You can use a function to approximate the number of gigabytes on the flash drive after x seconds of transferring photos.
Write an equation for the function. If it is linear, write it in the form g(x)=mx+b. If it is exponential, write it in the form g(x)=a(b)x.

Answer 1

This is a linear situation (constant rate). Let g(x) be gigabytes after x seconds. Then

g(x) = 0.625x + 128,

where 0.625 is the transfer rate in GB/s and 128 is the starting amount (for x ≥ 0).