A bunny population grows in a manner that can be represented by a geometric sequence. Given the table of values, determine the bunny population after 5 years. Year
Number of Bunnies
1 year- 2 bunnies
2years- 10 bunnies
3 years- 50 bunnies
Bunny population after 5 years:

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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

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answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!