Participants in a psychology experiment were able to memorize an average of M words in t minutes, where M = −0.001t3 + 0.1t2 Estimate the number of words memorizes after 14min where M=-0.001t^3 +0.1t^2
If this is your equation,
M = −0.001t^3 + 0.1t^2
t = 14 min
Substitute 14 for t and solve
M = −0.001t^3 + 0.1t^2
M = −0.001(14)^3 + 0.1(14)^2
Now solve for M = number of words in 14 min
To estimate the number of words memorized after 14 minutes using the given equation M = -0.001t^3 + 0.1t^2, we can substitute the value of t into the equation.
First, let's plug in t = 14 minutes into the equation:
M = -0.001(14)^3 + 0.1(14)^2
Simplify the equation:
M = -0.001(2744) + 0.1(196)
M = -2.744 + 19.6
M = 16.856
Therefore, the estimated number of words memorized after 14 minutes is approximately 16.856 words.
To estimate the number of words memorized after 14 minutes, we need to substitute the value of 14 into the equation for M.
M = -0.001t^3 + 0.1t^2
Replacing t with 14, we get:
M = -0.001(14)^3 + 0.1(14)^2
Calculating the values within the parentheses first:
M = -0.001(2744) + 0.1(196)
Simplifying further:
M = -2.744 + 19.6
M = 16.856
Therefore, the estimated number of words memorized after 14 minutes is approximately 16.856 words.