53. Flight of a ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball is given by S = 100 + 96t - 16t feet %3D where t is the number of seconds after the ball is thrown. How long after it is thrown is the height 100 feet? 54 Elicht of hall all ia t1

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Chapter3: Polynomial And Rational Functions
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51. Profit
18x2 - 400.
product is P = 6400x
(a) What level(s) of production will yield a profit of
$61,800?
(b) Can a profit of more than $61,800 be made?
52. Profit Suppose the profit from the sale of x units of a
product is P
(a) What level(s) of production will yield a profit of
$250?
50x
300 -
0.01x.
(b) Can a profit of more than $250 be made?
53. Flight of a ball If a ball is thrown upward at 96 feet per
second from the top of a building that is 100 feet high,
the height of the ball is given by
S = 100 + 96t - 16t feet
where t is the number of seconds after the ball is thrown.
How long after it is thrown is the height 100 feet?
54. Flight of a ball A tennis ball is thrown into the air from
the top of a hotel that is 350 feet above the ground. The
height of the ball from the ground is given by
D(t) = -162 + 10t + 350 feet
where t is the time, in seconds, after the ball is thrown.
How long after the ball is thrown does it hit the ground?
55. Wind and pollution The amount of airborne
particulate pollution p from a power plant depends
on the wind speed s, among other things, with the
relationship between p and s approximated by
p= 25 - 0.01s2
(a) Find the value(s) of s that will make p = 0.
(b) What value of s from part (a) makes sense in
%3D
contout
Transcribed Image Text:51. Profit 18x2 - 400. product is P = 6400x (a) What level(s) of production will yield a profit of $61,800? (b) Can a profit of more than $61,800 be made? 52. Profit Suppose the profit from the sale of x units of a product is P (a) What level(s) of production will yield a profit of $250? 50x 300 - 0.01x. (b) Can a profit of more than $250 be made? 53. Flight of a ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball is given by S = 100 + 96t - 16t feet where t is the number of seconds after the ball is thrown. How long after it is thrown is the height 100 feet? 54. Flight of a ball A tennis ball is thrown into the air from the top of a hotel that is 350 feet above the ground. The height of the ball from the ground is given by D(t) = -162 + 10t + 350 feet where t is the time, in seconds, after the ball is thrown. How long after the ball is thrown does it hit the ground? 55. Wind and pollution The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated by p= 25 - 0.01s2 (a) Find the value(s) of s that will make p = 0. (b) What value of s from part (a) makes sense in %3D contout
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