Question

A new laptop costs $1100 and has a new book value of $375 after 2 years. Find the linear model V(t)=Mx+b

Answer 1

- 362.5t + 1100

Explanation:

Given :

Value, = v ; time, = t

t1, v1 = (0, 1100)

t2, v2 = (2, 375)

Slope, m = v2 - v1 / t2 - t1

m = (375 - 1100) / (2 - 0)

m = - 725 / 2

m = - 362.5

v - v1 = m(t - t1)

v - 1100 = - 362.5(t - 0)

v - 1100 = - 362.5t

v = - 362.5t + 1100