Question

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 1

B

Explanation:

IT IS WHAT IT ISSS

Answer 2

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