question archive In 2018, it was predicted that the population of Sudbury, Ontario would increase from its current population of 165 000 to a population of 180 000 people by 2048

In 2018, it was predicted that the population of Sudbury, Ontario would increase from its current population of 165 000 to a population of 180 000 people by 2048

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In 2018, it was predicted that the population of Sudbury, Ontario would increase from its current population of 165 000 to a population of 180 000 people by 2048. Assuming this models exponential growth, at what rate is Sudbury's population growing?

 

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Answer:

0.2905% per year.

Step-by-step explanation

The rate at which the Sudbury's population is growing is given by:

A = P * (r)t

where A is final amount = 180000, P is initial amount = 165000, t is time taken = 30 years (2048-2018)

180000 = 165000 * (r)30

therefore, r is given as:

180000 = 165000 * (r)30

(r)30 = 12/11

r = 30?12/11??

= 1.002904

rate = ( 1.002904-1) *100

= 0.2905% per year.