Let\'s Go to Nashville! Da slEIa FUNCTIONS: A Math Story monola You and a friend
ID: 3136043 • Letter: L
Question
Let's Go to Nashville! Da slEIa FUNCTIONS: A Math Story monola You and a friend of your choice are driving to Nashville in two different cars. You are traveling 65 miles per hour and your friend is traveling 51 miles per hour. Your friend has a 35 mile head start. Nashville is about 200 miles from Memphis (just so you'll know). When will you catch up with your friend? Your Functionx-GE Your Friend's Function Elx t 3 5 On the piece of construction paper provided by your teacher, you are to create a display including the following components for both you and your friend: Domain and Range for both functions One Graph showing where you will catch up with your friend A paragraph explaining your functions and your graph .Title and Decorations about TN and/or Nashville or Car Travel stuff Functions Two function tables . . Two MappingsExplanation / Answer
1. Functions
Your function: f(t) = 65 (t-35/51)
Your friend's function: f(t) = 51t
where t = 0 is the time when your friend started
2. Functions tables
3. Domain
Your function
started at t = 35/51 = 0.69 hours
completed the trip at f(t) = 200
65 (t-35/51) = 200
t = 200/65 + 35/51 = 3.76 hours
so t = [0.69, 3.76]
Your friends:
started at t = 0
ended at t = 200/51 = 3.92 hours
so t = [0,3.92]
4. Range
Range is same for both of function i.e. [0,200]
As per Chegg rules, you can get answers to just 1 question (4 parts) in one post. Please post the other questions in a separate post.Please upvote the answer.
t (hour) Your function Your friend' function 0.00 0 0 0.69 0 35 1.00 20 51 1.50 53 76.5 2.00 85 102 2.50 118 127.5 3.00 150 153 3.50 183 178.5 3.75 199 191.25Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.