Interpret slope and intercept

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25 Νοε 2013 (πριν από 3 χρόνια και 11 μήνες)

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Interpret slope and intercept


1) Reinforced concrete buildings have steel frames. One of the
main factors affecting the durability of these buildings is
carbonation of the concrete (caused by a chemical reaction that
changes the pH of
the concrete) which then corrodes the steel
reinforcing the building. Data is collected on specimens of the core
taken from such buildings, where the depth of the carbonation, in
mm, called d, and the strength of the concrete, in Mpa, called
s,
are
measure
d. It is found that the model is
s
=
24.5


2.8


d




2) When cigarettes are burned, one by
-
product in the smoke is
carbon monoxide. Data is collected to determine whether the
carbon monoxide emission can be predicted by the nicotine level
of the cigarett
e. It is determined that the relationship is
approximately linear when we predict carbon monoxide,
C,
from
the nicotine level,
N.
Both variables are measured in milligrams.
The formula for the model is

C
=3.0+10.3

N



3) Data was collected to determine t
he length a golf ball will travel
when hit by a golf club with a certain speed. The speed, s, is
measured in miles per hour and the length the ball travels, d, is
measured in yards. The following formula gives the relationship
d
=
3.18
+
57.66


s


4)

Many scientists believe that the average surface temperature of the
world has been rising steadily. The average surface temperature is
given by
T

0.02t

8.50 where
T
is temperature in
oC
and
t
is time in
years since 1900.

5) A small appliance manufactu
rer finds that if he produces
x
toaster
ovens in a month, his

production cost is given by the equation
y

6x

3000 , where
y
is measured in dollars.


6)
Tom’s Fish Store has determined that their total cost,
C,
of producing
fish hooks is a


function of the number,
n,
of fish hooks made.

Let
C(n)

2n

24


7)

Richard’s Restaurant has determined that their profit,
P,
can be
written as a function of

the number of meals sold,
n.
Let
P(n)

3n


21


8) Interpret the slope and y
-
i
ntercept.