Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f
1 answer:
Answer:
480 feet.
Step-by-step explanation:
We are told that the function models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
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Part A:
You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.
The line between the origin and A is
We want everything below this line (line included), so the first inequality is
The line between the origin and B is
We want everything above this line (line included), so the second inequality is
Create a system with these two inequalities and you'll have an area including only points A and B
Part B:
To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:
Which means
And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.
Part C
If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have
And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6