Calculus With Mathematica Zadaci.pdf


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Growth Most human bodies eliminate alcohol at the rate of 12 grams per hour.
©1999 Bill Davis, Horacio Porta and Jerry Uhl The typical 12 - ounce American beer contains about grams of
Produced by Bruce Carpenter Published by Math Everywhere, Inc. alcohol.
you chug one 12 - ounce beer at 6:00, another at 7:00, another at
8:00, another at 9:00, and another at 10:00 and you drink nothing else,
Growth then how many grams of alcohol will be in your body fluids at 11:00?
Literacy Sheet
Is this more or less than the grams of alcohol in your body fluids
á) immediately after you chug the first beer?
A function f x starts out at x = 0 with a value of f 0 = 1 and goes up Should you expect to be a legal driver at 11:00?
at constant rate@ D of 3 units on the y - axis for each unit@ D on the x - axis.
Give a formula for f x and sketch its plot on the axes below: If you chug one 12 - ounce beer at 6:00, another at 6:30, another at
@ D 7:00, another at 7:30, another at 8:00, and another at 8:30 and you
The point plotted below is on the plot of f x because f 0 = 1. drink nothing else, then how many grams of alcohol will be in your
f x @ D @ D
@ D body fluids at 10:00?
6
4 Should you expect to be a legal driver at 10:00?
2 á)
x Here are two points 1, 2 and 5, 4 conveniently plotted on the axes
1 2 below: 8 < 8 <
-2 y
á) 5
4
5,4
A function f x starts out at x = 2 with a value of f 2 = 6 and goes up 8 <
at a rate of -***@ units on the y - axis for each unit ***@onD the x - axis. 3
2
Give a formula for f x and sketch its plot on the axes below: 1,2
@ D 8 <
The point plotted below is on the plot of f x because f 2 = 6. 1
@ D @ D x
1 2 3 4 5 6
Find a formula for the line function whose plot hits both points and
sketch its plot on the axes above.
What happens to this function every time x goes up by one unit?
What is the growth rate of this function?
f x
@ D á)
6

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