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[link] shows the input,
and output,
for a linear function
a. Fill in the missing values of the table. b. Write the linear function
round to 3 decimal places.
|
–10 |
5.5 |
67.5 |
b |
|
30 |
–26 |
a |
–44 |
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[link] shows the input,
and output,
for a linear function
a. Fill in the missing values of the table. b. Write the linear function
|
0.5 |
0.8 |
12 |
b |
|
400 |
700 |
a |
1,000,000 |
a.
;
b.
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Graph the linear function
on a domain of
for the function whose slope is
and
y -intercept is
. Label the points for the input values of
and
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Graph the linear function
on a domain of
for the function whose slope is 75 and
y -intercept is
. Label the points for the input values of
and
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Graph the linear function
where
on the same set of axes on a domain of
for the following values of
and
-
-
-
-
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Extensions
Real-world applications
At noon, a barista notices that she has $20 in her tip jar. If she makes an average of $0.50 from each customer, how much will she have in her tip jar if she serves
more customers during her shift?
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A gym membership with two personal training sessions costs $125, while gym membership with five personal training sessions costs $260. What is cost per session?
$45 per training session.
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A clothing business finds there is a linear relationship between the number of shirts,
it can sell and the price,
it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of
, while 3,000 shirts can be sold at a price of $22. Find a linear equation in the form
that gives the price
they can charge for
shirts.
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A phone company charges for service according to the formula:
where
is the number of minutes talked, and
is the monthly charge, in dollars. Find and interpret the rate of change and initial value.
The rate of change is 0.1. For every additional minute talked, the monthly charge increases by $0.1 or 10 cents. The initial value is 24. When there are no minutes talked, initially the charge is $24.
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A farmer finds there is a linear relationship between the number of bean stalks,
she plants and the yield,
each plant produces. When she plants 30 stalks, each plant yields 30 oz of beans. When she plants 34 stalks, each plant produces 28 oz of beans. Find a linear relationships in the form
that gives the yield when
stalks are planted.
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A city’s population in the year 1960 was 287,500. In 1989 the population was 275,900. Compute the rate of growth of the population and make a statement about the population rate of change in people per year.
The slope is
This means for every year between 1960 and 1989, the population dropped by 400 per year in the city.
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A town’s population has been growing linearly. In 2003, the population was 45,000, and the population has been growing by 1,700 people each year. Write an equation,
for the population
years after 2003.
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Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the linear function:
where
is the number of years after 1990. Which of the following interprets the slope in the context of the problem?
- As of 1990, average annual income was $23,286.
- In the ten-year period from 1990–1999, average annual income increased by a total of $1,054.
- Each year in the decade of the 1990s, average annual income increased by $1,054.
- Average annual income rose to a level of $23,286 by the end of 1999.
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When temperature is 0 degrees Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the corresponding Fahrenheit temperature is 212. Express the Fahrenheit temperature as a linear function of
the Celsius temperature,
- Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius.
- Find and interpret
- Find and interpret
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Questions & Answers
it is the relatively stable flow of income
what is circular flow of income
branches of macroeconomics
what is Flexible exchang rate?
is gdp a reliable measurement of wealth
introduction to econometrics
Why is unemployment rate never zero at full employment?
bcoz of existence of frictional unemployment in our economy.
Umashankar
what is flexible exchang rate?
poudel
due to existence of the pple with disabilities
Abdulraufu
the demand of a good rises, causing the demand for another good to fall
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Waeth
discus major problems of macroeconomics
what is the problem of macroeconomics
Yoal
Economic growth
Stable prices
and low unemployment
Ephraim
explain inflationcause and itis degre
increase in general price levels
WEETO
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
how to calculate actual output?
Chisomo
how to calculate the equilibrium income
Beshir
Criteria for determining money supply
who we can define macroeconomics in one line
Muhammad
Aggregate demand
Mohammed
C=k100 +9y and i=k50.calculate the equilibrium level of output
nawalparasi district
from belatari
Amisha
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.
if interest rate is increased this will will reduce the level of income shifting the curve to the left ◀️
Kalombe
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Source:
OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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