# Write A Linear Equation

Discussion in 'Algebra' started by nycmathguy, Jun 27, 2021.

1. ### nycmathguy

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A school district purchases a high-volume printer, copier, and scanner for $24,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be$2000. Write a linear equation giving the value V of the equipment during the 10 years it will be in use.

Let me see.

Let t = time

The general linear equation representing this situation is V = mt + b.

I will reduce 24,000/2,000 to the lowest terms.

24,000/2,000 becomes 24/2.

Slope = (change in V)/(change in t).

Slope = (2 - 24)/(10 - 0)

Slope = -20/10

Slope = -2.

I now go back to the general linear equation given above to plug -2 for m (the slope) and 24 for b (our y-intercept).

I say the equation is V = -2t + 24.

Correct?

nycmathguy, Jun 27, 2021
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2. ### MathLover1

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MathLover1, Jun 27, 2021
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