A school district purchases a high-volume printer, copier, and scanner for $27,000. 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 t be the number of years after purchase.)
Accepted Solution
A:
Answer:V = 27000 - 2500tStep-by-step explanation:Let the linear equation that represents the value of the equipment after t years,V = a - btSince, the original value of the equipment is $27,000,That is, if t = 0, V = 27,00027,000 = a - b(0)⇒ a = 27,000If t = 10, V = 2,0002000 = a - 10b2000 = 27,000 - 10b10b = 25000⇒ b = 2,500Hence, the linear function that shows the value of the equipment after t years,V = 27000 - 2500t