In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
be memorized. suppose m denotes the total amount of a subject to be memorized and a(t) is the amount memorized in time t > 0. determine a differential equation for the amount a(t). (assume the constant of proportionality is k > 0. use a for a(t).)
1 answer:
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Answer:
Option C is correct.
Constant of variation k = -0.5
Step-by-step explanation:
The direct variation says that:
then, the equation is of the form: .....[1] where k is the constant of variation.
Given the table:
x f(x)=y
0 0
2 -1
4 -2
7 -3.5
Consider any values from the tables
x = 4 and y=f(x) = -2
Substitute these values in equation [1] we have;
Divide both sides by 4 we get;
Therefore, the constant of variation is, -0.5