Vivian is going to do some yard work, but she needs to leave her house at
2: 00 to go to a football game. she is going to mow the lawn for 1 hour and
15 minutes, trim some bushes for 40 minutes, and put down some mulch for
25 minutes. she will also need 30 minutes to shower and get dressed. what
time should she start the work so that she will be ready at 2: 00?

answer:

your answer is: c. 196 7/8 in^3.

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.