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Question

There were 7611 bowling alleys in the a country in 1993 and 5453 in 2003. Assume that the pattern in the number of bowling alleys is a linear function of time.

(a) Find the equation for the linear function that can be used to model the number of bowling alleys B as a function of time t.

B =

Answer 1

y = mx + b

m = (7611 - 5453)/(2003 - 1993) = 2158/ 10 ≈ 216

This means 216 bowling alleys are added every year, starting with 5453 in year 0 (1993).

B = 216t + 5453

So, in 2015, year 22...

B = 216(22) + 5453 = etc.