Using an exponential model for the data, estimate when the population will exceed 100 million. HELP PLEASE!

Step-by-step explanation:

The rate at which the population is increasing is exponential. The growth rate, r = 57/53 = 1.08

We would apply the formula for exponential growth which is expressed as

A = Pr^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

A = 100000000

P = 53000000

Therefore,

100000000 = 53000000 × 1.08^t

100000000/53000000 = 1.08^t

1.886792 = 1.08^t

Taking log of both sides,

Log 1.886792 = t log 1.08

0.27572 = 0.033423t

t = 0.27572/0.033423

t = 8.25

Approximately 8years

Therefore, the population will exceed 100 million in 2008

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step-by-step explanation: