Use the graph to write an explicit function to represent the data and determine how much money taryn earned in week 5. graph with x axis labeled number of weeks and ranges from zero to seven, y axis labeled money earned, in dollars, and ranges from zero to one hundred eighty with points at one comma four, two comma twelve, three comma thirty six, and four comma one hundred eight f(n) = (3)n − 1; f(5) = 81 f(n) = 4(3)n + 1; f(5) = 2,916 f(n) = 4(3)n; f(5) = 972 f(n) = 4(3)n − 1; f(5) = 324

write out the polynomial, with leading coefficient 1:

y = 1 (x+2)^1 (x-7)^1 (x-5)^2

next time, share the answer choices.   .

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.

it would be 0.18 because when the other choices are converted they equal those two numbers.   hope this !