-
Home
- College algebra
- Linear functions
- Modeling with linear functions
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!
Real-world 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,
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,
of the town
years after 2000.
- Using your equation, predict the population of the town in 2014.
-
people
-
years
- Average rate of growth
people per year
So, using
we have
- The year 2000 corresponds to
So,
or roughly 904 people in year 2000
- If the year 2000 corresponds to
then we have ordered pair
corresponds to
- The year 2014 corresponds to
Therefore,
.
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
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.
-
- 0.06 For every MB, the client is charged 6 cents.
If no usage occurs, the client is charged $10
-
Got questions? Get instant answers now!
Questions & Answers
summarize halerambos & holbon
the Three stages of Auguste Comte
what are agents of socialization
definition of sociology of education
Nuhu
shared beliefs, values, and practices
AI-Robot
What are the two type of scientific method
what are the scientific method of sociology
Man
the process wherein people come to understand societal norms and expectations, to accept society's beliefs, and to be aware of societal values
AI-Robot
scientific method in doing research
ogunniran
defimition of sickness in afica
Anita
list and explain the terms that found in society
list and explain the terms that found in society
Mukhtar
what are the agents of socialization
Antonio
Family
Peer group
Institution
Abdulwajud
I mean the definition
Antonio
ways of perceived deviance indifferent society
reasons of joining groups
SAM
to bring development to the nation at large
Hyellafiya
entails of consultative and consensus building from others
Gadama
World first Sociologist?
Abu
What is evolutionary model
Evolution models refer to mathematical and computational representations of the processes involved in biological evolution. These models aim to simulate and understand how species change over time through mechanisms such as natural selection, genetic drift, and mutation. Evolutionary models can be u
faruk
what are the modern trends in religious behaviours
shared standards of acceptable behavior by the group or appropriate behavior in a particular institution or those behaviors that are acceptable in a society
Lucius
that is how i understood it
Lucius
examples of societal norms
Diamond
Discuss the characteristics of the research located within positivist and the interpretivist paradigm
what is Industrialisation
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
Google Play and the Google Play logo are trademarks of Google Inc.