The amount of money in an account with continuously compounded interest is given by the formula a = pert , where p is the principal, r is the annual interest rate, and t is the time in years. calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 3.1%.
round to the nearest tenth.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

t hope this

: