Question

A bank employee notices an abandoned checking account with a balance of $360. The bank charges a $9 monthly fee for the account. What is the equation that gives the balance f(x) in dollars as a function of the number of months, x? What are the x and y intercepts?

Answer 1

Answer with explanation:

Given : A bank employee notices an abandoned checking account with a balance of $360. The bank charges a $9 monthly fee for the account.

let x be the number of months.

Then, the amount charged by bank in x months = $9x$

Balance = Initial Balance - Amount charged in x months

=360-9x

The equation that gives the balance f(x) in dollars as a function of the number of months, x : $f(x)=360-9x$

For x-intercept, put f(x)=0

$360-9x=0\\\\ 9x=360\\\\x=40$  [divide both sides by 9.]

x-intercept : (40,0)

For y-intercept, put  x=0

$f(0)=360$

y-intercept : (0,360)

Answer 2

F(x) is another way of saying y.

360-9x=y

You would then graph the equations and list the ordered pairs that line crosses on the x-axis and the y-axis.