Question

In 2002, the membership of a club totaled 5 thousand. By 2005, there were 29 thousand members of this club.

a. Write two ordered pairs of the form (x,y), where x is years after 2002 and y is membership in thousands.
b. Assume that the membership is linear between the years 2002 and 2005. Use the ordered pairs from part (a) to write an equation in slope-intercept form of the line
relating year and membership.
c. Use the linear equation from part (b) to predict membership in 2014.

Answer 1

a)

(0, 5)

(3, 29)

b) y = 8x + 5

c) 101 thousand

Explanation:

slope m = (29-5)/(3-0) = 24/3 = 8

y-intercept = (0, b) = (0, 5)

y = mx + b

y = 8x + 5

2014 - 2002 = 12

y = 8(12) +5

y = 96 + 5 = 101