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?
Please check and clarify your Eq. I
don't believe it is correct.
To find the number of trials needed for the rat to run through the maze in exactly eight minutes, we need to solve the equation:
t = 8
t = 6 + 20 / (n + 2)
First, let's substitute the value of t into the equation:
8 = 6 + 20 / (n + 2)
Now, we can simplify the equation by subtracting 6 from both sides:
8 - 6 = 20 / (n + 2)
2 = 20 / (n + 2)
Next, we can cross-multiply to get rid of the fraction:
2(n + 2) = 20
Expanding the left side of the equation:
2n + 4 = 20
Subtracting 4 from both sides:
2n = 16
Finally, divide both sides by 2 to solve for n:
n = 16 / 2
n = 8
Therefore, the rat needs to have 8 trials in order to run through the maze in exactly eight minutes.