Exercises the population of smithfield is growing at the rate of 6% per year. there are currently 2500 people in the town.
1. write an equation that models the population.
2. graph the function.
3. estimate the number of people who will live in smithfield in 10 years.

the population of fairbanks is decreasing at a rate of 6% per year. there are
currently 2500 people in the town.
4. write an equation that models the population.
5. graph the function.
6. estimate the number of people who will live in fairbanks in 10 years.
7. compare the populations of the towns of smithfield and fairbanks. how are they
different?

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

1/6

step-by-step explanation:

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