Suppose a rumor is spreading that eating pickles will raise a person's IQ. Assume that 80 people have heard the rumor as of today and each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. Complete the following parts, a through c.
a. Find an equation of f.
f(t) = $80(3)^t$
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
b. How many people (past and present) will have heard the rumor 10 days from now?
people (Type a whole number.)
c. How many people (past and present) will have heard the rumor 15 days from now? Choose the correct answer below.
A. 1,148,012,350
B. 1,147,812,660
C. 1,147,812,550
D. 1,147,912,560