A particular rat given n trials in a maze can run through the maze in t minutes, where: t=6+_20__
n+2
How many trials are needed so that the rat can run through the maze in exactly eight minutes?
To find the number of trials needed for the rat to run through the maze in exactly eight minutes, we can use the given equation:
t = (6 + 20)/(n + 2)
To find the value of n, we need to substitute the value of t with 8 and solve for n.
8 = (6 + 20)/(n + 2)
We can simplify this equation further:
8(n + 2) = 6 + 20
8n + 16 = 26
Now, let's solve for n:
8n = 26 - 16
8n = 10
n = 10/8
n = 1.25
Since the number of trials should be a whole number, we cannot have 1.25 trials. In this case, we can conclude that the given equation does not have a solution for the rat to run through the maze in exactly eight minutes.