Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells. He wants to know how many there will be after 42 months. Which equation should he use?

a42 = 5(2)42 − 1

a42 = 5(2)(42)

a42 = 5(2)42

a42 = 5(2)(42 − 1)

1 answer

originally when n = 0, y = 5
after one month, n = 1 and we should have ten
so
y = 5 * 2^n
after 42 months
y = 5 * 2^42