Part 1 -Sample roller coasters warm up: Fanny and Elena enjoy roller coasters. Whenever a new roller Coaster opens near their town,
they try to be among the first to ride. One Saturday, the two friends decide to ride a new
coaster. While waiting in line, Fanny notices that part of this coaster resembles the graph of a
polynomial function that they have been studying in their math class.
The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the
coaster can be determined by H(t) = 0.3t-t+ 21t where t is the time in seconds and h
is the height in feet.
1. Find the height of the coaster at t = 0 second. Explain why this answer makes sense.
2. Evaluate H(10) to find the height of the roller coaster at t = 10 seconds.
3. Graph H(t) using a calculator or a computer program for t=0 to t = 10 seconds.
4. During the first 10 seconds of the ride, is the rollercoaster going up and/or going down?
Is the slope constant?

Step-by-step explanation:

h(t) = 0.3t -t +21t , t=time and h=height

1.

at t=0  the hight is h=0

h(0) = 0.3*0 -0 +21*0 = 0

It makes sense that at the time 0 seconds when the rollercoaster did not leave the hight is 0 feet.

2.

for t=10 substitute t with 10

h(10) = 0.3*10 -10 +21*10 = 3 -10 +210 = 203

3. see graph

4. the rollercoaster is going up

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.