HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?

a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t

Answers

Answer 1

Answer:

b. P = 56,382(1+0.012)^t

Answer 2

The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The population P after 2010 is an exponential growth function of the form:

[tex]P = P_{0} (1 + r)^t[/tex]

where P₀ is the initial population,

r is the annual growth rate as a decimal, and

t is the time in years.

Byu given information P₀ = 56,382,

r = 0.012, and

t is the number of years after 2010.

The equation that defines the population in Smalltown t years after 2010 is:

[tex]P = 56,382(1 + 0.012)^t[/tex]

Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

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