Susanne is comparing two populations of birds. One population is following a linear growth pattern, which can be represented by the equation f(x) - 20x + 136. The second
population is following an exponential growth pattern, which can be represented by the
equation g(x) 4(2)* where x is the number of years in both equations.
Complete the table below on a separate sheet of paper to determine when the two
populations will be about the same.
Years (8)
Population 1 [f(x)] Population 2 (g(x)]
176
196
2
16
3
32
X-6: 6 years
OX4: 4 years
X-8; 8 years
x-10; 10 years

this answer is !

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

noncoplanar points are points that do not lie on the same line.

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140