Select the correct answer from each drop-down menu. A new company is looking to expand its business. The table shows the number of months, x, that have passed since the company was established, and the number of employees, f(x), at each time period.

x 0 2 4 6 8
f(x) 2 31 54 71 82

Use the data in the table to create the standard form of the function that models this situation.

f(x) =
x2 +
x +

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.