The times for the model to complete a circuit at

the end of a day of training are as follows:

$0$: $200$ seconds

$1$: $191$ seconds

$2$: $182$ seconds

Note: Programmers like to count from $0,$ where $0$ is the

$3$: $173$ seconds

$4$: $164$ seconds

To allow management to make the decision of how long to allow

your team to run the machine learning model, they have requested

the following information from you:

a$)$ Assuming the same progress is made by the machine learning

model, given funding for $7$ days in total, how fast will the machine

learning model be able to complete the circuit?

$($remember to show all your working?$)$

b$)$ Assuming the same progress is made by the machine learning

model, determine on what day the machine learning model is likely

to complete a circuit in less than $100$ seconds.

c$)$ Provide a graph that visualises the progress of the machine

learning model starting from end of the first day to at least the end

of the $10$ th day.