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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 :

MrRoyalgo

Answer:

The equation is: [tex]f(x) = 52000 - 8000x[/tex]

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

[tex]Amount = Initial - Rate* Years[/tex]

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

Let

[tex]y = Amount[/tex]

[tex]x = Years[/tex]

So, we have:

[tex]y = Initial - Rate * x[/tex]

Substitute values for Initial and Rate

[tex]y = 52000 - 8000 * x[/tex]

[tex]y = 52000 - 8000x[/tex]

Express as a function:

[tex]f(x) = 52000 - 8000x[/tex]

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