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(Will award Brainlies & many many points, please help!)

Use the graph to write an explicit function to represent the data and determine how much money Shelley earned in week 5.

A] f(n) = 5(3)n − 1; f(5) = 405
B] f(n) = 6(3)n − 1; f(5) = 486
C] f(n) = 6(3)n; f(5) = 1,458
D] f(n) = 6(3)n + 1; f(5) = 4,374

Will award Brainlies amp many many points please help Use the graph to write an explicit function to represent the data and determine how much money Shelley ear class=

Respuesta :

Answer:

B] f(n) = 6(3)n − 1; f(5) = 486

Step-by-step explanation:

First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.

So if the relation is exponential, if we divide the y coordinates you should get the same result every time.

18 / 6 = 3

54 / 18 = 3

162 / 54 = 3

So the y value increases 3 times. That means that the next value should be 162*3 = 486.

Answer:

B.

Step-by-step explanation: