A community is considering raising funds to pay for improvements to the community swimming pool. To measure the level of interest, community leaders went door-to-door in a few neighborhoods and interviewed residents. Of
the 230 residents contacted, 157 support raising funds to pay for improvements. Which of the following represents
the sample in this setting?
A. All residents of the community
B. The 230 residents who were interviewed
C. All residents who use the community pool
D. The 157 residents who support raising funds

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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