A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write formulas for each of the two linear functions at time t, value V(t), and repair costs to date C(t). Graph them. V (t) = 2500 – 1500 t C(t) =| 1500 t %3D $ (thousands) V (t). C(t)--------- 25 V(t) 20 15 10 C(t) t (years) 20 2. 4. 10 12 14 16 18 (b) One strategy is to replace a vehicle when the totalcost of repairs is equal to the current value. Find this time T. NOTE: Enter the exact answer, or round to three decimals places. T=8.34 years (c) Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time T when the value is 6%. NOTE: Enter the exact answer, or round to three decimals places. T=15.667 уears
A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write formulas for each of the two linear functions at time t, value V(t), and repair costs to date C(t). Graph them. V (t) = 2500 – 1500 t C(t) =| 1500 t %3D $ (thousands) V (t). C(t)--------- 25 V(t) 20 15 10 C(t) t (years) 20 2. 4. 10 12 14 16 18 (b) One strategy is to replace a vehicle when the totalcost of repairs is equal to the current value. Find this time T. NOTE: Enter the exact answer, or round to three decimals places. T=8.34 years (c) Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time T when the value is 6%. NOTE: Enter the exact answer, or round to three decimals places. T=15.667 уears
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Transcribed Image Text:A $25,000 vehicle depreciates $1500 a year as it ages. Repair
costs are $1500 per year.
(a) Write formulas for each of the two linear functions at time t,
value V(t), and repair costs to date C(t). Graph them.
V (t) = 2500 – 1500 t
C(t) = 1500 t
%3D
$ (thousands)
V (t)
C(t)--------
25
V (t)
20
15
10
C(t)
t (years)
10
12
14
16
18
20
(b) One strategy is to replace a vehicle when the totalcost of
repairs is equal to the current value. Find this time T.
NOTE: Enter the exact answer, or round to three decimals places.
T=8.34
years X
(c) Another strategy is to replace the vehicle when the value of
the vehicle is some percent of the original value. Find the time
T when the value is 6%.
NOTE: Enter the exact answer, or round to three decimals places.
T=15.667
years
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