Jacob has an investment account that earns compound interest. He deposits 3750 total into the account. It earns 9% interest, compounded bi-annually. After 3 years in the account, how much money will they have earned.

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:

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

17.08

correct me if i am wrong.