Alexia wants' to start taking the light rail train to work. She wants to be late no more than 5% of the time. The light rail train claims to be on time 24 out of 25 times. Should Alexia take the light rail train to work?

Step-by-step explanation:

The number of times, the light rail is on time = 24 times out of 25 times

So, the probability of train reaching on time  =  

Let us assume the total number of days train is on time  = k

Also, total number of days train woks  = 100

Now, as per given condition, the probability of train being on time should be equal to the number of days, train is on time.

So, the train is on time 96 days out of total 100 days.

So, the percentage of train being on time = 96%

⇒ The percentage of train being late  = (100 - 96) % = 4%

Also, the percentage of time she can be late to work = 5%

and 4% < 5%

⇒Yes, Alexa can take the light rail train to work.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.