Question

A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining to be paid. The graduate makes regular payments of $8,000 each year. The graph shows the sequence. f(x)=?​

Answer 1

Answer:

The equation is: $f(x) = 52000 - 8000x$

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

$Amount = Initial - Rate* Years$

We used minus (-) because, the amount reduces as the student pays.

Let

$y = Amount$

$x = Years$

So, we have:

$y = Initial - Rate * x$

Substitute values for Initial and Rate

$y = 52000 - 8000 * x$

$y = 52000 - 8000x$

Express as a function:

$f(x) = 52000 - 8000x$