3. Give a property of real numbers (associative, commutative, or distributive) or a property of equality
(addition or multiplication) that justifies each step in the following equation:
3x+1+ 2x - 7= x+22
(1) 3x + 2x +1-7 = x+
(2) x(3+2) - 6 = x+22
5x-6=X+22
(3) 5x-6+6 = x+22+
5x = x+28
(4) 5x - x = x + 28
(5) x(5-1) = 28
4x=28
(6) 34x=-=-28

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10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation:

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.