The formula m = 12,000 + 12,000rt/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years.
Explain why the formula is a rational function for a given value of r. What if you are given t?

It is of the form p(x)/q(x) where p(x) and q(x) are polynomials, and g(x) does not equal 0  

If r is given, it does not change the fact that there is still a variable in the denominator.

If t is given, there is no longer a variable in the denominator. The function is still rational, but the case of t being a constant, it is also linear.

Step-by-step explanation:

on edge 2021 its correct ^^

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.