A data scientist is training a word recognition bot to learn how to produce content in the English languageThe bot was initially given 100 common English words to learnThe data scientist notices that the bot learns 3 new words for every 1 it already knew each day.

a. Create an exponential equation for the number of words, w, the bot learns after d days. (1 pt)

b. How long will it take for the bot to learn a novel with 218,700 unique words? (1pt)