



If we assume the linear trend existed before 1950 and continues after 2000, the two states’ median house values will be (or were) equal in what year? (The answer might be absurd.)
Got questions? Get instant answers now!
For the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in
[link] . Assume that the house values are changing linearly.
Year 
Indiana 
Alabama 
1950 
$37,700 
$27,100 
2000 
$94,300 
$85,100 
If we assume the linear trend existed before 1950 and continues after 2000, the two states’ median house values will be (or were) equal in what year? (The answer might be absurd.)
Got questions? Get instant answers now!
Realworld applications
In 2004, a school population was 1001. By 2008 the population had grown to 1697. Assume the population is changing linearly.
 How much did the population grow between the year 2004 and 2008?
 How long did it take the population to grow from 1001 students to 1697 students?
 What is the average population growth per year?
 What was the population in the year 2000?
 Find an equation for the population,
$\text{\hspace{0.17em}}P,$ of the school
t years after 2000.
 Using your equation, predict the population of the school in 2011.
Got questions? Get instant answers now!
In 2003, a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.
 How much did the population grow between the year 2003 and 2007?
 How long did it take the population to grow from 1431 people to 2134 people?
 What is the average population growth per year?
 What was the population in the year 2000?
 Find an equation for the population,
$\text{\hspace{0.17em}}P,$ of the town
$\text{\hspace{0.17em}}t\text{\hspace{0.17em}}$ years after 2000.
 Using your equation, predict the population of the town in 2014.

$21341431=703\text{\hspace{0.17em}}$ people

$20072003=4\text{\hspace{0.17em}}$ years
 Average rate of growth
$\text{\hspace{0.17em}}=\frac{703}{4}=175.75\text{\hspace{0.17em}}$ people per year
So, using
$\text{\hspace{0.17em}}y=mx+b,$ we have
$\text{\hspace{0.17em}}y=175.75x+1431.$
 The year 2000 corresponds to
$\text{\hspace{0.17em}}t=3.$
So,
$\text{\hspace{0.17em}}y=175.75(3)+1431=903.75\text{\hspace{0.17em}}$ or roughly 904 people in year 2000
 If the year 2000 corresponds to
$\text{\hspace{0.17em}}t\text{=0,}$ then we have ordered pair
$\text{\hspace{0.17em}}(0,903.75)$
$y=175.75x+903.75\text{\hspace{0.17em}}$ corresponds to
$\text{\hspace{0.17em}}P(t)=175.75t+903.75$
 The year 2014 corresponds to
$\text{\hspace{0.17em}}t=14.\text{\hspace{0.17em}}$ Therefore,
$\text{\hspace{0.17em}}P(14)=175.75(14)+903.75=3364.25$ .
So, a population of 3364.
Got questions? Get instant answers now!
A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes, the monthly cost will be $118.
 Find a linear equation for the monthly cost of the cell plan as a function of
x , the number of monthly minutes used.
 Interpret the slope and
y intercept of the equation.
 Use your equation to find the total monthly cost if 687 minutes are used.
Got questions? Get instant answers now!
A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be $17.80.
 Find a linear equation for the monthly cost of the data plan as a function of
$\text{\hspace{0.17em}}x,$ the number of MB used.
 Interpret the slope and
y intercept of the equation.
 Use your equation to find the total monthly cost if 250 MB are used.

$\begin{array}{l}\text{Orderedpairsare}(20,11.20)\text{and}(130,17.80)\hfill \\ \\ \begin{array}{ccc}\hfill m& =& \frac{17.8011.20}{13020}=0.06\text{and}(0,10)\hfill \\ \hfill y& =& mx+b\hfill \\ \hfill y& =& 0.06x+10\text{or}C(x)=0.06x+10\hfill \end{array}\end{array}$
 0.06 For every MB, the client is charged 6 cents.
$\text{\hspace{0.17em}}(0,10)\text{\hspace{0.17em}}$ If no usage occurs, the client is charged $10

$\begin{array}{ccc}\hfill C(250)& =& 0.06(250)+10\hfill \\ & =& \$25\hfill \end{array}$
Got questions? Get instant answers now!
Questions & Answers
Cos 45 = 1/ √ 2
sec 30 = 2/√3
cosec 30 = 2.
=1/√2 / 2/√3+2
=1/√2/2+2√3/√3
=1/√2*√3/2+2√3
=√3/√2(2+2√3)
=√3/2√2+2√6  (1)
=√3 (2√62√2)/((2√6)+2√2))(2√62√2)
=2√3(√6√2)/(2√6)²(2√2)²
=2√3(√6√2)/248
=2√3(√6√2)/16
=√18√16/8
=3√2√6/8 (2)
exercise 1.2 solution b....isnt it lacking
what is onetoone function
what is the procedure in solving quadratic equetion at least 6?
Almighty formula or by factorization...or by graphical analysis
Damian
I need to learn this trigonometry from A level.. can anyone help here?
cos(a+b)+cos(ab)/sin(a+b)sin(ab)=cotb ... pls some one should help me with this..thanks in anticipation
f(x)=x/x+2 given g(x)=1+2x/1x show that gf(x)=1+2x/3
sebd me some questions about anything ill solve for yall
cos(a+b)+cos(ab)/sin(a+b)sin(ab)= cotb
favour
how to solve x²=2x+8 factorization?
x=2x+8
x2x=2x+82x
x2x=8
x=8
x/1=8/1
x=8
prove:
if x=8
8=2(8)+8
8=16+8
8=8
(PROVEN)
Manifoldee
×=2x8 minus both sides by 2x
Manifoldee
so, x2x=2x+82x
Manifoldee
then cancel out 2x and 2x, cuz 2x2x is obviously zero
Manifoldee
so it would be like this: x2x=8
Manifoldee
then we all know that beside the variable is a number (1): (1)x2x=8
Manifoldee
so we will going to minus that 12=1
Manifoldee
so it would be x=8
Manifoldee
so next step is to cancel out negative number beside x so we get positive x
Manifoldee
so by doing it you need to divide both side by 1 so it would be like this: (1x/1)=(8/1)
Manifoldee
SO THE ANSWER IS X=8
Manifoldee
so we should prove it
Manifoldee
x=2x+8
x2x=8
x=8
x=8 by mantu from India
mantu
lol i just saw its x²
Manifoldee
x²=2x8
x²2x=8
x²=8
x²=8
square root(x²)=square root(8)
x=sq. root(8)
Manifoldee
I mean x²=2x+8 by factorization method
Kristof
I think x=2 or x=4
Kristof
x= 2x+8
×=82x
 2x + x = 8
 x = 8 both sides divided  1
×/1 = 8/1
× =  8 //// from somalia
Mohamed
1KI POWER 1/3 PLEASE SOLUTIONS
can u tell me concepts
Gaurav
Find the possible value of 8.5 using moivre's theorem
which of these functions is not uniformly cintinuous on (0, 1)? sinx
which of these functions is not uniformly continuous on 0,1
Source:
OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
Google Play and the Google Play logo are trademarks of Google Inc.