Devise the exponential growth function that fits the given data; then answer the accompanying questions. Be sure to identify the reference point (t = 0) and units of time.

Between 2005 and 2010, the average rate of inflation was about 3%/yr (as measured by the Consumer Price Index). If a cart of groceries cost $100 in 2005, what will it cost in 2018, assuming the rate of inflation remains constant?