Question

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3. A pop band has gained much popularity across the country. They buy a bus to tra The purchase price is $185,000. The bus will be depreciated linearly over 10 years value of $75,000 ss the country. They buy a bus to travel to their destinations. eciated linearly over 10 years and will then have a scrap a. What is the rate of depreciation? b. Find a function VC) that gives the book value of the bus at the end of the Osts 10. year of use, where c. What will be the book value of the bus at the end of the seventh year? d. When will the bus be worth $130,000? 4. Jamal is choosing between two truck-rental companies. The first, keep on Trucking, Inc., charges an up- front fee of $20, then 59 cents per mile. The second, Move It Your Way, charges an up-front fee of $16, then 63 cents per mile. a. Find functions driven x miles. and g that describe the cost of renting a truck from each company when a truck is b. When would keep on Trucking be the better choice for Jamal?

Answer 1

Given: The purchase price of the bus = $185,000 The bus will be depreciated linearly over to years and will then have a scrap value of $75,000 Depreciation in I years - $1850D - 7500D = 10000 Depreciation per year= 110,000 o = 11000 . Rate of depreciation = $11000 per year. b) Let vlt) be the value of bus at the end of the 4th year () = at +b - given, (o)= $ 185000 i 185000 = a(o) tb b = 185000 given, value after 10 years =$750000 . 25000 = allo) ty => 75-80 199 + 185000 11:=1850vo ► los 75600 - 185070 to a -119000 → a -1000 putting these values in equation ④ vet) = -llooot + 185000 (C) The book value of the bus at the end of the seventh year = V(7) = -11,000 (7)+185000 = $(108000] (d) putting vitl= $30,000 130000 -llocot +18560 → looot = le soov - 13 000 :. Bus wild be worth → 11000 55000 $130,000 at the end of the 15th year tas

4.(a) Keep on Trucking Inc Charges an up front fee of $20, and then so cents (ie. $0.59) per mile. Let the truck is driven a miles and let of describes the cost of renting a truch from Keep on Trucking = 20to.sgn then, truck from move it your Let I describes the cost of renting a way (g(n)= 16+ 0.63 l f(x) < gen) => 20 to.sgna 16 +0.632 » 20-164 0.634 -0.594 → 4<0.04. 4 un 0.04 cu lovcu n>100 keep on Trucking would be better he would rent of or more than choice for 100 miles Tamal, when