Grace borrowed $92 from her father. She already paid back $12. She will pay him another $16 on Monday and then make equal payments of $4 until the rest of the money has been repaid. The
expression below can be used to find the number of equal payments Gracie will need to make in
order to repay the money.
92 − (12 + 16)
___
4
How many equal payments will Gracie need to make in order to repay the money?

A 24
B 16
C 5
D 27

16

Step-by-step explanation:

First, you need to do 12+16, which gives you 28. Next, you need to do 92-28, which gives you 64, then divide that by 4 and you get 16.

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:

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a