Question

an employee at the bank notices an abandoned account with a balance of $360. the bank charges a monthly fee of $8 to maintain an account. the equation for this situation is y = 360 - 8x, where x is the number of months, and y is the balance in dollars. Part A: Find the y-intercept Part B: Find the x-interceptPart C: Interpret the meaning of the x- and y-intercept in terms of the problem.

Answer 1

Given:

There are given the equation:

`y=360-8x`

Step-by-step explanation:

(A):

To find the y-intercept, we need to put 0 for x and solve the equation for the value of y.

So,

From the function:

`\begin{gathered} y=360-8(0) \\ y=360 \end{gathered}`

Hence, the y-intercept is shown below:

`(0,360)`

(B):

To find the x-intercept, we need to put 0 for y and find the values for x:

So,

`\begin{gathered} y=360-8x \\ 0=360-8x \\ 8x=360 \\ x=(360)/(8) \\ x=45 \end{gathered}`

Hence, the value x-intercept is shown below:

`(45,0)`

(C):

The interpret the meaning of the x- and the y-intercept is shown below:

In the given context, the y-intercept, and x-intercept, mean x = 0 and y = 0 and also refers to the starting values.

For a time-based exercise, this will be the value when we started talking we read or when we started tracking the time and its related changes.