Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. Last month, Seth paid a total of $6.50 in checking account fees. How many checks did he write? A 1 C 3

B 2 D 4

13

Step-by-step explanation:

Since Seth pays $0.50 for each check he writes, he would write (let x be how many checks Seth wrote) "x" checks for $6.50. That means;

1 = 0.50

x = 6.50

Now let us set up a fraction:

Step 1: Cross multiply

Step 2: Divide both sides by

Simplify

Therefore, Seth will write 13 checks for $6.50

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: