Two clubs at school are competing to grow in membership. One club (Club A) started with 13 people and has been growing by 5 people each week. Another club (Club B) started with 4 people and has been doubling in size each week (multiplying by 2).
a) Write an equation for each club. Let y represent the number of people in the club, and let x represent weeks.
Club A:
Club B:
b) Fill out the first few rows of a table for each club (below).
Club A
x: Weeks
y: Number of People
0
1
2
3
4
5
Club B
x: Weeks
y: Number of People
0
1
2
3
4
5
c) Which is the first week where Club #2 has more people than Club #1?
