B(1)=15
b(n)=b(n−1)⋅(−3)


What is the 4th term in the sequence?

idek

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.

during a tunnel construction project, engineers used explosives to excavate partway into a mountain. but due to constraints and environmental concerns, they later introduced a tunnel boring machine (tbm) to excavate the rest of the tunnel. the length and of the completed tunnel (in feet) is based on the number of days since the tbm started working. the length can be calculated using the equation y = 25x + 225. what does the y-intercept represent in this scenario?