Question

On day

, Jane invites

friends to her party. She asks each of those friends to visit and invite

of their friends the next day, and to have each of their friends visit and invite

of their friends the day after, and so on. Let

be the number of people who are invited to Jane's party on day

. Assume that no person is invited more than once. Which of the following best explains the relationship between

and

?
Choose 1 answer:
Choose 1 answer:
(Choice A) The relationship is linear because all of the values of

are multiples of

.
A
The relationship is linear because all of the values of

are multiples of

.
(Choice B) The relationship is exponential because

increases by a factor of

each time

increases by

.
B
The relationship is exponential because

increases by a factor of

each time

increases by

.
(Choice C) The relationship is exponential because

increases by a factor of

each time

increases by

.
C
The relationship is exponential because

increases by a factor of

each time

increases by

.
(Choice D) The relationship is linear because

increases by a factor of

as

changes from

to

.
D
The relationship is linear because

increases by a factor of

as

changes from

to

.

Answer 1

(Choice B) The relationship is exponential because 𝑁𝑘 increases by a factor of 𝑘 each time k increases by 1.