S The cost of renting a car is given by the function C(k) = 150 + Sk where C is the cost, in dollars, and k is the distance, measured in kilometers, from the pick-up point. a) Determine the cost of renting the car if you travel 50 kilometers - show your work below. b) Determine C(72). Show your work below. c) A group of friends rent a car and pay $1275. They drove to Reyes, a village which is k kilometers from where they pick up the car. Determine the distance between Reyes and the pick-up point. Show your work below| Given the function fx) = ax +b where fC0) = 8 and f(4) = - 20, determine the values of a and b. Show your work for this solution as well in the box below. b =

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Chapter2: Second-order Linear Odes
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Answer the following question.

5. The cost of renting a car is given by the function C(k) = 150 + 5k where C is the cost,
in dollars, and k is the distance, measured in kilometers, from the pick-up point.
a) Determine the cost of renting the car if you travel 50 kilometers - show your work
below.
b) Determine C(72). Show your work below.
c) A group of friends rent a car and pay $1275. They drove to Reyes, a village which is
k kilometers from where they pick up the car. Determine the distance between Reyes
and the pick-up point. Show your work below.
6. Given the function f(x) = ax +b where f(0) = 8 and f(4) = - 20, determine the values of
a and b.
Show your work for this solution as well in the box below.
a =
b =
Transcribed Image Text:5. The cost of renting a car is given by the function C(k) = 150 + 5k where C is the cost, in dollars, and k is the distance, measured in kilometers, from the pick-up point. a) Determine the cost of renting the car if you travel 50 kilometers - show your work below. b) Determine C(72). Show your work below. c) A group of friends rent a car and pay $1275. They drove to Reyes, a village which is k kilometers from where they pick up the car. Determine the distance between Reyes and the pick-up point. Show your work below. 6. Given the function f(x) = ax +b where f(0) = 8 and f(4) = - 20, determine the values of a and b. Show your work for this solution as well in the box below. a = b =
3. Determine if each relation below is a function or not and provide a reason for each.
00
Function
(Yes or No)
How do you
know?
4. Determine the Domain and Range of the function shown in the graph at the right. When
entering the domain and range you can type "<=" for less than or equal to and
">=" for greater than or equal to. To indicate all Real numbers, just say "x can be
any R number".
YA
(2, 6)
Domain:
_y = f(x)
Range:
Transcribed Image Text:3. Determine if each relation below is a function or not and provide a reason for each. 00 Function (Yes or No) How do you know? 4. Determine the Domain and Range of the function shown in the graph at the right. When entering the domain and range you can type "<=" for less than or equal to and ">=" for greater than or equal to. To indicate all Real numbers, just say "x can be any R number". YA (2, 6) Domain: _y = f(x) Range:
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