Select the correct answer from each drop-down menu. The population of a small rural town in the year 2006 was 2,459. The population can be modeled by the function below, where f(x) is the number of residents and t is the number of years elapsed since 2006. Using the information given above, complete the following statements. The percent change is %. The percent change represents .

f

step-by-step explanation:

f

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

answer is your mom hey