Sarah received a paycheck for $1200. She deposited 1 of the money into a bank account. The account has an interest rate of 6% compounded continuously. This is the
first and last deposit that Sarah makes into this account. How much money will be in
the account in 15 years?

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:

y=mx+b

step-by-step explanation:

m slope, b y-intercept

add an image

step-by-step explanation: