-
Home
- Elementary algebra
- Rational expressions and equations
- Use direct and inverse variation
The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a block of ice melts in 2 hours when the temperature is 65 degrees.
-
ⓐ Write the equation of variation.
-
ⓑ How many hours would it take for the same block of ice to melt if the temperature was 78 degrees?
ⓐ
ⓑ
hours
Got questions? Get instant answers now!
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot long board.
-
ⓐ Write the equation of variation.
-
ⓑ How many pounds of pressure is needed to break a 5-foot long board?
Got questions? Get instant answers now!
Practice makes perfect
Solve Direct Variation Problems
In the following exercises, solve.
The amount of money Sally earns,
P , varies directly with the number,
n , of necklaces she sells. When Sally sells 15 necklaces she earns $150.
-
ⓐ Write the equation that relates
P and
n .
-
ⓑ How much money would she earn if she sold 4 necklaces?
Got questions? Get instant answers now!
The price,
P , that Eric pays for gas varies directly with the number of gallons,
g , he buys. It costs him $50 to buy 20 gallons of gas.
-
ⓐ Write the equation that relates
P and
g .
-
ⓑ How much would 33 gallons cost Eric?
Got questions? Get instant answers now!
Terri needs to make some pies for a fundraiser. The number of apples,
a , varies directly with number of pies,
p . It takes nine apples to make two pies.
-
ⓐ Write the equation that relates
a and
p .
-
ⓑ How many apples would Terri need for six pies?
Got questions? Get instant answers now!
Joseph is traveling on a road trip. The distance,
d , he travels before stopping for lunch varies directly with the speed,
v , he travels. He can travel 120 miles at a speed of 60 mph.
-
ⓐ Write the equation that relates
d and
v .
-
ⓑ How far would he travel before stopping for lunch at a rate of 65 mph?
Got questions? Get instant answers now!
Questions & Answers
What are the factors that affect demand for a commodity
differentiate between demand and supply
giving examples
differentiated between demand and supply using examples
Lambiv
how is the graph works?I don't fully understand
hi guys good evening to all
Lambiv
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
Can I ask you other question?
Shukri
What is different between quantity demand and demand?
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
how do you save a country economic situation when it's falling apart
what is the difference between economic growth and development
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
any question about economics?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
Google Play and the Google Play logo are trademarks of Google Inc.