Aabc has a coordinates of a(-6, -7), b(4, -2), and c(0, 7). find the coorddinates of its image after a dilation centered at the origin with a scale facotr of 2.a: a(–6, –7), b(4, –2), c(0, 7)b: a(–12, –14), b(8, –4), c(0, 14)c: a(–3, –3.5), b(2, –1), c(0, 3.5) a(–12, –7), b(8, –2), c(0, 7)

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.