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Math Problems
Algebra 1
Write linear and exponential functions: word problems
gebra
1
1
1
- Unit
3
3
3
: Two Variable Statistics
\newline
Name Aaron sams
\newline
Date:
\qquad
\newline
Pd
\newline
\qquad
EXIT TICKET Estimate Line of Best Fit Use a ruler to draw an approximate line of best fit thorough the points.
\newline
Slope:
\newline
Y-intercept:
\newline
Equation:
\newline
Positive or Negative Correlation?
\newline
Positive
\newline
Strong or Weak?
\newline
strong
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Algebra
1
1
1
-Unit
3
3
3
: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit
\newline
Name Aaron sams
\newline
Date:
\qquad
\newline
\qquad
P
d
\mathrm{Pd}
Pd
D.
1
1
1
\qquad
Use a ruler to draw an approximate line of best fit thorough the points.
\newline
\begin{tabular}{|l|}
\newline
\hline Slope:
1
1
1
,
0
0
0
\\
\newline
\hline Y-intercept: \\
\newline
\hline
\newline
\end{tabular}
\newline
Equation:
\newline
Positive or Negative Correlation?
\newline
Positive
\newline
Strong or Weak?
\newline
Strong
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Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem.
\newline
P
V
=
$
7
,
000
;
i
=
0.035
;
P
M
T
=
$
600
;
n
=
?
P V=\$ 7,000 ; i=0.035 ; P M T=\$ 600 ; n=?
P
V
=
$7
,
000
;
i
=
0.035
;
PMT
=
$600
;
n
=
?
\newline
n
=
\mathrm{n}=
n
=
□
\square
□
(Round up to the nearest integer.)
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vi]. (
15
15
15
) Teams and Channels / Gene!
\newline
Hangman - Play the Word Game
\newline
Unit
8
8
8
Lesson
8
8
8
: Exponential Beh
\newline
Unit
8
8
8
Lesson
8
8
8
: Exponential Beł
×
\times
×
\newline
https//forms.office.com/pages/responsepage.aspx?id=
6
6
6
u
2498
2498
2498
L
1
1
1
lk
2
2
2
E
8
8
8
FhKiZE
5
5
5
Yoz
4
4
4
SYv-U
6
6
6
FEnR
7
7
7
RziNMyAVU...
\newline
2
2
2
\newline
Classify the following relation as Exponential Behavior, Linear Behavior, or Neither. *
\newline
(
1
1
1
Point)
\newline
Exponential
\newline
Linear
\newline
Neither
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of toc they in. Quadratic vi. Exponential
\newline
LT
10
10
10
c, Linear vs. Quadratic vs. Exponential
\newline
Ben Aqtiw
113
113
113
hm
\newline
folms
\newline
10
10
10
\newline
S.bemitine
\newline
mexturnalitod
\newline
The value of a certain investment over time is given ir Answer the questions below to explain what kind of fancteon would belter moxt the data, linear or exponential.
\newline
\begin{tabular}{|c|c|c|c|c|}
\newline
\hline &
1
1
1
&
2
2
2
&
3
3
3
&
4
4
4
\\
\newline
\hline &
11
11
11
,
854
854
854
.
00
00
00
& loulen in & A.s
76
76
76
.
00
00
00
&
7318
7318
7318
.
96
96
96
\\
\newline
\hline
\newline
\end{tabular}
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Use a graphing calculator and the following scenario.
\newline
The population
P
P
P
of a fish farm in
t
t
t
years is modeled by the equation
P
(
t
)
=
1700
1
+
9
e
−
0.6
t
P(t)=\frac{1700}{1+9 e^{-0.6 t}}
P
(
t
)
=
1
+
9
e
−
0.6
t
1700
.
\newline
To the nearest tenth, how long will it take for the population to reach
900
900
900
?
\newline
□
\square
□
yr
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Write an exponential function to model the situation. Then solve.
\newline
The cost of tuition at a college is
$
12
,
000
\$ 12,000
$12
,
000
and is increasing at a rate of
6
%
6 \%
6%
per year. What will the cost be after
4
4
4
years?
\newline
C
(
t
)
=
12000
(
1.06
)
t
;
C
(
t
)
=
12000
(
.
06
)
t
;
C
(
t
)
=
12000
(
.
06
)
t
;
C
(
t
)
=
12000
(
1.06
)
t
;
$
3149.72
$
1472.95
$
3149.72
\begin{array}{l} C(t)=12000(1.06)^{t} \text {; } \\ C(t)=12000(.06)^{t} \text {; } \\ C(t)=12000(.06)^{t} \text {; } \\ C(t)=12000(1.06)^{t} \text {; } \\ \$ 3149.72 \\ \$ 1472.95 \\ \$ 3149.72 \\ \end{array}
C
(
t
)
=
12000
(
1.06
)
t
;
C
(
t
)
=
12000
(
.06
)
t
;
C
(
t
)
=
12000
(
.06
)
t
;
C
(
t
)
=
12000
(
1.06
)
t
;
$3149.72
$1472.95
$3149.72
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Consider the discrete random variable
X
X
X
given in the table below. Calculate the mean, variance, and standard deviation of
X
X
X
. Round answers to two decimal places.
\newline
\begin{array}{c|c} X & P(X) \ \hline 1 & 0.68 \ 11 & 0.11 \ 15 & 0.12 \ 17 & 0.09 \ \end{array}
\newline
\begin{array}{c} \mu= \ \sigma^{2}= \ \sigma= \ \end{array}
\newline
What is the expected value of
X
X
X
?
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A town has a population of
1.025
×
1
0
5
1.025 \times 10^{5}
1.025
×
1
0
5
and shrinks at a rate of
5
%
5 \%
5%
every year. Which equation represents the town's population after
6
6
6
years?
\newline
P
=
(
1.025
×
1
0
5
)
(
1
−
0.05
)
(
1
−
0.05
)
(
1
−
0.05
)
P=\left(1.025 \times 10^{5}\right)(1-0.05)(1-0.05)(1-0.05)
P
=
(
1.025
×
1
0
5
)
(
1
−
0.05
)
(
1
−
0.05
)
(
1
−
0.05
)
\newline
P
=
(
1.025
×
1
0
5
)
(
0.05
)
6
P=\left(1.025 \times 10^{5}\right)(0.05)^{6}
P
=
(
1.025
×
1
0
5
)
(
0.05
)
6
\newline
P
=
(
1.025
×
1
0
5
)
(
0.95
)
6
P=\left(1.025 \times 10^{5}\right)(0.95)^{6}
P
=
(
1.025
×
1
0
5
)
(
0.95
)
6
\newline
P
=
(
1.025
×
1
0
5
)
(
1
−
0.5
)
6
P=\left(1.025 \times 10^{5}\right)(1-0.5)^{6}
P
=
(
1.025
×
1
0
5
)
(
1
−
0.5
)
6
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Every year
39
39
39
million cars cross the Golden Gate Bridge in San Francisco.
\newline
Which kind of function best models the relationship between time and the cumulative number of cars that have crossed the Golden Gate Bridge?
\newline
Choose
1
1
1
answer:
\newline
A) Linear
\newline
B) Exponential
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When studying a new antiviral drug, researchers found that the drug concentration in a patient's bloodstream halves every
2
2
2
hours. Which of the following best describes how the drug concentration changes as time elapses?
\newline
Choose
1
1
1
answer:
\newline
(A) Linear increase
\newline
(B) Linear decrease
\newline
(C) Exponential increase
\newline
(D) Exponential decrease
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The highest recorded wind speed not associated with a tornado was recorded at Barrows Island, Australia, in the year
1996
1996
1996
. The wind gust of
220
220
220
knots
(
k
n
)
(\mathrm{kn})
(
kn
)
toppled the previous record held at Mount Washington. What was the wind speed in miles per hour
\newline
(
m
i
h
r
)
?
(
1
k
n
=
1.15
m
i
h
r
)
\begin{array}{l} \left(\frac{\mathrm{mi}}{\mathrm{hr}}\right) ? \\ \left(1 \mathrm{kn}=1.15 \frac{\mathrm{mi}}{\mathrm{hr}}\right) \end{array}
(
hr
mi
)
?
(
1
kn
=
1.15
hr
mi
)
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It always takes Zach approximately
5
5
5
minutes longer to arrive than he says. If Zach says he will arrive in
x
x
x
minutes, which of the following functions correctly models the approximate number of minutes it actually takes Zach to arrive?
\newline
Choose
1
1
1
answer:
\newline
(A)
f
(
x
)
=
5
x
f(x)=5 x
f
(
x
)
=
5
x
\newline
(B)
f
(
x
)
=
x
−
5
f(x)=x-5
f
(
x
)
=
x
−
5
\newline
(C)
f
(
x
)
=
x
+
5
f(x)=x+5
f
(
x
)
=
x
+
5
\newline
(D)
f
(
x
)
=
5
−
x
f(x)=5-x
f
(
x
)
=
5
−
x
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P
(
t
)
=
25
(
2
)
t
1.06
P(t)=25(2)^{\frac{t}{1.06}}
P
(
t
)
=
25
(
2
)
1.06
t
\newline
The number of yeast cells,
P
(
t
)
P(t)
P
(
t
)
, in a culture after
t
t
t
days is modeled by the equation shown. After how many days will the population double in size?
\newline
(Round your answer to the nearest hundredth.)
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Jill bought a used motorcycle from a seller online for $1,200. The seller will charge her $5 a day to store the motorcycle at his house until she is able to pick it up. You can use a function to describe the total amount of money Jill will owe the seller if she waits
x
x
x
days to pick up the motorcycle.
\newline
Write an equation for the function. If it is linear, write it in the form
g
(
x
)
=
m
x
+
b
g(x) = mx + b
g
(
x
)
=
m
x
+
b
. If it is exponential, write it in the form
g
(
x
)
=
a
(
b
)
x
g(x) = a(b)^x
g
(
x
)
=
a
(
b
)
x
.
\newline
g
(
x
)
=
‾
g(x) = \underline{\hspace{3em}}
g
(
x
)
=
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