Find a formula for the linear function whose data is given in the table below. Year 0 4 8 Value of a computer, V 1900 1620 1340

Genesis Gibbs

Genesis Gibbs

Answered question

2022-10-09

Find a formula for the linear function whose data is given in the table below.
Year, t 0 4 8 Value of a computer, V 1900 1620 1340

Answer & Explanation

Krha77

Krha77

Beginner2022-10-10Added 8 answers

A linear function is a function whose graph produces a line. Linear functions can always be written in the form f(x) = b + mx or f(x) = mx + b; they’re equivalent, where b is the initial or starting value of the function (when input, x = 0), and m is the constant rate of change of the function.
Here x corresponds to year (t) and y correesponds to value of computer.
Lets us choose two points (0,1900) and (4,1620) and substitute in the general equation.
1900 = b + m ( 0 ) ;   b = 1900
Again,
1620 = 1900 + m ( 4 ) 280 = 4 m m = 70
Therefore,
f ( x ) = 1900 70 x
Thus the linear function is,
V ( t ) = 1900 70 t

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