Thomas deposited $800 into two different accounts. - He deposited $450 into an account that pays 4.5% simple interest.

- He deposited $350 into an account that pays 4.25% compounded annually.

If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?

Group of answer choices

A. $820.38

B. $1,220.88

C. $871.79

D. $870.88

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:

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!