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11. A sub shop purchases a used pizza oven for $875. After 5 years, the oven wil

ID: 3017848 • Letter: 1

Question

11. A sub shop purchases a used pizza oven for $875. After 5 years, the oven will have to be replaced because it will have no value. Write a linear equation giving the value V of the equipment during the 5 years that it will be used. 12. A school district purchases a high-volume priuter, copier, aud scauner for $25,000. Af- ter 10 years, the equipment will have to be replaced. Its value at that time is expected to be S2000. Write a lincar equation getting the value V of the equipment during the 10 years it will be in usc. 13. The Pennsylvania State University had en-

Explanation / Answer

Let the time in years after the equipment
was bought = t, for example, t = 1
would be 1 year after it was bought
Let V = the value of the equipment
at any point in time
When t = 0, V0 = 25000
When t = 10, V10 = 2000

The equation to use is

(V - Vo)/(t – to) = (V10 - Vo)/(t10 - to)

(V - 25000)/(t – 0) = (2000 - 25000)/(10 - 0)

(V - 25000)/t = -23000/10

V – 25000 = -2300*t

V = -2300*t + 25000

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