Which of the following rules describes the function graphed below

Output = (0.5)(Input) + 1.5

Step-by-step explanation:

input = 1 , output = (0.5)(1) + 1.5 = 2

input = 3 , output = (0.5)(3) + 1.5 = 3

input = 5 , output = (0.5)(5) + 1.5 = 4

input = -1 , output = (0.5)(-1) + 1.5 = 1

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Step-by-step explanation:

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Part A: 

 We have the function:
 f (n) = 10 (1.02) ^ n
 We can make a table that shows the behavior of the function.
 We have then:
 0 10
 1 10.2
 2 10,404
 3 10.61208
 4 10.8243216
 5 11.04080803
 
 A reasonable domain is:
 n belonging to [0, 5]

 Part B: 

 The intersection with the y-axis occurs when n = 0.
 We have then:
 f (0) = 10 (1.02) ^ 0
 f (0) = 10
 Represents the initial height of the plant
 
 the y-intercept of the graph of the function f (n) represents:
 the initial height of the plant

 Part C: 

 The average change of rate is:
 (1.02-1) * 100 = 2%
 Represents the increase in the height of the plant (in cm), compared to the previous day (n)
 
 2%