Question

What is the algebraic expression for the table below?

Term Number - 0 Term Value - 51
Term Number - 1 Term Value - 48
Term Number - 2 Term Value - 45
Term Number - 3 Term Value - 42
Term Number - 4 Term Value - 39
Term Number - 5 Term Value - 36
Term Number - 6 Term Value - 33
Term Number - 7 Term Value -30

Answer 1

See a solution process below:

Explanation:

For each unit the term number goes up the term value goes does by three units.

When the term number, or `x`, is equal to `0` the term value is `51`, so for this we can write:

`y = x + 51`

However, do capture the decreasing by `3` we need to write:

`y = -3x + 51`