On average, a $25,000 vehicle depreciates $2,000 per year as it ages. During the first 5 years, this vehicle has $0 in repair costs due to a warranty, but starting 5 years from the date of purchase, the repair cost of the vehicle averages $1,000 per year.

SHOW ALL EXPLANATIONS AND STEPS FOR ALL PARTS OF THIS QUESTION PLEASE!

a.)

i.)Find the symbolic form of a function V(t) that models the value of the vehicle t years after purchase. Find the symbolic form of another function C(t) that models the repair costs of the vehicle t years after purchase.

V(t) = ________________ C(t) = ____________________

ii.) Explain what suitable domains might be used for each of these functions.

iii.)

Domain of V(t): __________________. Domain of C(t):______________________

iv.) Sketch the graphs of V(t) and C(t) in the same coordinate system below.

v.) One Strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time.