Question 13 cdot 1 point a truck costs 60000 it depreciates...

QUESTION 13 $\cdot$ 1 POINT A truck costs $60,000. It depreciates in value $1,000 per year. Write a linear model in the form $v(t) = mt + b$, where $v(t)$ represents the current value of the truck after $t$ years of ownership Provide your answer below: $v(t) = \boxed{}$

A delivery truck is purchased new for $\$ 54,000$. a. Write a linear function of the form $y=m t+b$ to represent the value $y$ of the vehicle $t$ years after purchase. Assume that the vehicle is depreciated by $\$ 6750$ per year. b. Suppose that the vehicle is depreciated so that it holds $70 \%$ of its value from the previous year. Write an exponential function of the form $y=V_{0} b^{t},$ where $V_{0}$ is the initial value and $t$ is the number of years after purchase. c. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the linear model. d. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the exponential model.