What exponential function is best fit for the data table? x f(x) 3 10 4 16 5 28 a) f(x) = 3(2)x − 2 + 4 b) f(x) = 3(2)x − 2 − 4 c) f(x) = 1/3(2)x − 2 + 4 d) f(x) = 1/3(2)x − 2 − 4

Hence, the exponential function that best fits the data is:

 (Option A)

Step-by-step explanation:

We are given a set of values as:

x        f(x)

3        10

4        16

5        28

so we will put the value of x=3 in each of the given options and check which function gives the value 10.

i.e. at x=3 which function f(x)=10.

B)

when x=3.

Hence, option B is incorrect.

C)

when x=3

Hence, option C is incorrect.

D)

when x=3

Hence, option D is incorrect.

A)

when x=3.

similarly A option holds for other values of x as well.

Hence, option A is correct.

Hence, the exponential function that best fits the data is:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet