Achecking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent (no other transactions occur on the account.
a. write an equations that shows the amount of money in the account as the month pass.
b. make a table of values and a graph of what is happening to the money over time.

A checking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent.

A: Let there be m months where $400 is removed from the account. And let x shows the amount of money left.

So, the equation becomes:

B: The table can form like:

m     1            2           3             4           5          6             7         8  

x    4400     4000    3600    3200    2800     2400    2000   1600

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.