Barry has been watching the geese that live in his neighborhood. the number of geese changes each week. (n) f(n) (1) 56 (2) 28 (3) 14 (4) 7 .which function best shows the relationship between n and f(n)? a. f(n) = 28(0.5)^n b. f(n) = 56(0.5)^n-1 c. f(n) = 56(0.5)^n d. f(n) = 112(0.5)^n-1

Answer

B. f(n) = 56(0.5)^n-1

Explanation

f(n) (1) 56

(2) 28

(3) 14

(4) 7

To find the correct relation we have to test all of them.

A. f(n) = 28(0.5)^n

f(1) = 28(0.5)¹

      = 28 × 0.5 = 14  

f(n) = 28(0.5)^n ⇒  Not correct relation

B. f(n) = 56(0.5)^n-1

    f(1) = 56(0.5)¹⁻¹  = 56×1

                              = 56

  F(2) = 56(0.5)²⁻¹  = 56 × 0.5  = 28

  F(3) = 56(0.5)³⁻¹  = 56 × 0.25 = 14

 f(n) = 56(0.5)^n-1  ⇒ It is the correct relation  

C. f(n) = 56(0.5)^n

   f(1) = 56(0.5)¹  = 56 × 0.5 = 28

f(n) = 56(0.5)^n  ⇒ Not correct relation

D. f(n) = 112(0.5)^n-1

  f(1) = 112(0.5)¹⁻¹  = 112 × 1 = 112

f(n) = 112(0.5)^n-1   ⇒ Not correct relation

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

4.5%

step-by-step explanation: