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irga5000 [103]
3 years ago
14

Drag each tile to the correct box.

Mathematics
1 answer:
rodikova [14]3 years ago
8 0

Answer: C < B < A

<u>Step-by-step explanation:</u>

First, let's evaluate the growth rate of A from [1, 3]

f(x) = 200\bigg(\dfrac{3}{2}\bigg)^1

    = 300

coordinate is (1, 300)

f(x) = 200\bigg(\dfrac{3}{2}\bigg)^3

    = 675

coordinate is (3, 675)

Average growth rate (AGR) is: \dfrac{675-300}{3-1} = \dfrac{375}{2} = 187.5

AGR (A) = 187.5

*************************************************************************************

Next, let's evaluate the growth rate of B from [1, 3]

The coordinates are already provided as (1, 120) and (3, 480)

Average growth rate (AGR) is: \dfrac{480-120}{3-1} = \dfrac{360}{2} = 180

AGR (B) = 180

*************************************************************************************

Lastly, let's evaluate the growth rate of C from [1, 3]

f(x) = 600(1.2)ˣ

f(x) = 600(1.2)¹

     = 720

coordinate is (1, 720)

f(x) = 600(1.2)³

     = 1036.8

coordinate is (3, 1036.8)

Average growth rate (AGR) is: \dfrac{1036.8-720}{3-1} = \dfrac{316.8}{2} = 158.4

AGR (C) = 158.4

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