The population of a city is 35,400. the population is expected to grow at a rate of 2% each year. which function equation represents the population of the city after t years?

Step-by-step explanation:

The exponential growth function is given by :-

...(i)

, where A = initial value , r= rate of growth ( in decimal) and t is time (usually in years).

Given,The population of a city is 35,400. The population is expected to grow at a rate of 2% each year.

i.e. A=  35,400

r=2%=0.02  [we divide percent by 100 to convert it into decimal]

Substitute all values in (i), we get the function represents the population of the city after t years :

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step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign