The given points are (0,0), (1,9), (2,18), (3,27), and (4,36). Since the graph passes through the origin, the relationship between the quantity (x) and the cost (y) can be represented as y = kx, where k is a constant of proportionality.
We can use the coordinates of one of the points to determine the proportionality constant. Let's use the second point (1,9):
9 = k * 1
k = 9
So, the equation of the proportional relationship through the origin is y = 9x.
Use the image to answer the question.
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.
The price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.
7 answers
Use the graph to answer the question.
The vertical axis is labeled millions and ranges from 0 to 900 in increments of 100. The horizontal axis is labeled year and lists dates from 1700 to 2000 in 100-year increments. The line for population starts at 90 million for 1700 and with a slow growth rate reaches to 120 million by 1900. The line then rises with a high growth rate and reaches beyond 600 million by 2000. The line for steel consumption starts from 0 in 1860 and reaches 20 million by 1900. The line then rises with a high growth rate to reach beyond 800 million by 2000. The values used in the description are approximate.
What led to the increase in steel consumption seen on the graph?
(1 point)
Responses
Steel consumption increased when more people started to use computers.
Steel consumption increased when more people started to use computers.
Fossil fuels that became popular depends on steel production.
Fossil fuels that became popular depends on steel production.
More building construction is needed to provide for the needs of people.
More building construction is needed to provide for the needs of people.
More people started mining steel that are sold outside of the country.
The vertical axis is labeled millions and ranges from 0 to 900 in increments of 100. The horizontal axis is labeled year and lists dates from 1700 to 2000 in 100-year increments. The line for population starts at 90 million for 1700 and with a slow growth rate reaches to 120 million by 1900. The line then rises with a high growth rate and reaches beyond 600 million by 2000. The line for steel consumption starts from 0 in 1860 and reaches 20 million by 1900. The line then rises with a high growth rate to reach beyond 800 million by 2000. The values used in the description are approximate.
What led to the increase in steel consumption seen on the graph?
(1 point)
Responses
Steel consumption increased when more people started to use computers.
Steel consumption increased when more people started to use computers.
Fossil fuels that became popular depends on steel production.
Fossil fuels that became popular depends on steel production.
More building construction is needed to provide for the needs of people.
More building construction is needed to provide for the needs of people.
More people started mining steel that are sold outside of the country.
More building construction is needed to provide for the needs of people.
Which can be excluded from the list of environmental impacts of mining?(1 point)
Responses
sea level is rising
sea level is rising
water is polluted
water is polluted
habitats are destroyed
habitats are destroyed
harmful gases are released
harmful gases are released
Which energy source releases the most carbon dioxide?(1 point)
Responses
coal
coal
solar
solar
hydroelectric
hydroelectric
wind
wind
What happens to infrared radiation released by the Earth if there is an increased level of carbon dioxide in the atmosphere?(1 point)
Responses
It escapes and cools the atmosphere.
It escapes and cools the atmosphere.
It is converted to carbon dioxide.
It is converted to carbon dioxide.
It is absorbed and heats the atmosphere.
It is absorbed and heats the atmosphere.
It is converted to solar energy.
It is converted to solar energy.
With such huge increases in population, why has there not been a direct and equivalent increase in urban development (i.e., why is it such a small proportion of habitable land use)?(1 point)
Responses
Habitable land is already being used for livestock and crops.
Habitable land is already being used for livestock and crops.
There is not enough habitable land left for further urban development.
There is not enough habitable land left for further urban development.
Many people can live in small spaces, such as high rises in cities.
Many people can live in small spaces, such as high rises in cities.
People want to live close to where they work, which is usually the city or suburbs.
People want to live close to where they work, which is usually the city or suburbs.
In almost all chains of consequences, what happens over time as the consequences unfold?(1 point)
Responses
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences decrease in size and scale and become short term.
Consequences decrease in size and scale and become short term.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences increase in size and scale and become longer lasting.
Which change over time in Landsat maps would most likely be associated with contaminated water habitats nearby?(1 point)
Responses
increased size of gray areas
increased size of gray areas
increased size of dark green areas
increased size of dark green areas
green areas replaced with yellow areas
green areas replaced with yellow areas
gray areas replaced with light green areas
gray areas replaced with light green areas
Responses
sea level is rising
sea level is rising
water is polluted
water is polluted
habitats are destroyed
habitats are destroyed
harmful gases are released
harmful gases are released
Which energy source releases the most carbon dioxide?(1 point)
Responses
coal
coal
solar
solar
hydroelectric
hydroelectric
wind
wind
What happens to infrared radiation released by the Earth if there is an increased level of carbon dioxide in the atmosphere?(1 point)
Responses
It escapes and cools the atmosphere.
It escapes and cools the atmosphere.
It is converted to carbon dioxide.
It is converted to carbon dioxide.
It is absorbed and heats the atmosphere.
It is absorbed and heats the atmosphere.
It is converted to solar energy.
It is converted to solar energy.
With such huge increases in population, why has there not been a direct and equivalent increase in urban development (i.e., why is it such a small proportion of habitable land use)?(1 point)
Responses
Habitable land is already being used for livestock and crops.
Habitable land is already being used for livestock and crops.
There is not enough habitable land left for further urban development.
There is not enough habitable land left for further urban development.
Many people can live in small spaces, such as high rises in cities.
Many people can live in small spaces, such as high rises in cities.
People want to live close to where they work, which is usually the city or suburbs.
People want to live close to where they work, which is usually the city or suburbs.
In almost all chains of consequences, what happens over time as the consequences unfold?(1 point)
Responses
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences decrease in size and scale and become short term.
Consequences decrease in size and scale and become short term.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences increase in size and scale and become longer lasting.
Which change over time in Landsat maps would most likely be associated with contaminated water habitats nearby?(1 point)
Responses
increased size of gray areas
increased size of gray areas
increased size of dark green areas
increased size of dark green areas
green areas replaced with yellow areas
green areas replaced with yellow areas
gray areas replaced with light green areas
gray areas replaced with light green areas
increased size of gray areas.
Which can be excluded from the list of environmental impacts of mining?(1 point)
Responses
sea level is rising
sea level is rising
water is polluted
water is polluted
habitats are destroyed
habitats are destroyed
harmful gases are released
harmful gases are released
Which energy source releases the most carbon dioxide?(1 point)
Responses
coal
coal
solar
solar
hydroelectric
hydroelectric
wind
wind
What happens to infrared radiation released by the Earth if there is an increased level of carbon dioxide in the atmosphere?(1 point)
Responses
It escapes and cools the atmosphere.
It escapes and cools the atmosphere.
It is converted to carbon dioxide.
It is converted to carbon dioxide.
It is absorbed and heats the atmosphere.
It is absorbed and heats the atmosphere.
It is converted to solar energy.
It is converted to solar energy.
With such huge increases in population, why has there not been a direct and equivalent increase in urban development (i.e., why is it such a small proportion of habitable land use)?(1 point)
Responses
Habitable land is already being used for livestock and crops.
Habitable land is already being used for livestock and crops.
There is not enough habitable land left for further urban development.
There is not enough habitable land left for further urban development.
Many people can live in small spaces, such as high rises in cities.
Many people can live in small spaces, such as high rises in cities.
People want to live close to where they work, which is usually the city or suburbs.
People want to live close to where they work, which is usually the city or suburbs.
In almost all chains of consequences, what happens over time as the consequences unfold?(1 point)
Responses
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences decrease in size and scale and become short term.
Consequences decrease in size and scale and become short term.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences increase in size and scale and become longer lasting.
Responses
sea level is rising
sea level is rising
water is polluted
water is polluted
habitats are destroyed
habitats are destroyed
harmful gases are released
harmful gases are released
Which energy source releases the most carbon dioxide?(1 point)
Responses
coal
coal
solar
solar
hydroelectric
hydroelectric
wind
wind
What happens to infrared radiation released by the Earth if there is an increased level of carbon dioxide in the atmosphere?(1 point)
Responses
It escapes and cools the atmosphere.
It escapes and cools the atmosphere.
It is converted to carbon dioxide.
It is converted to carbon dioxide.
It is absorbed and heats the atmosphere.
It is absorbed and heats the atmosphere.
It is converted to solar energy.
It is converted to solar energy.
With such huge increases in population, why has there not been a direct and equivalent increase in urban development (i.e., why is it such a small proportion of habitable land use)?(1 point)
Responses
Habitable land is already being used for livestock and crops.
Habitable land is already being used for livestock and crops.
There is not enough habitable land left for further urban development.
There is not enough habitable land left for further urban development.
Many people can live in small spaces, such as high rises in cities.
Many people can live in small spaces, such as high rises in cities.
People want to live close to where they work, which is usually the city or suburbs.
People want to live close to where they work, which is usually the city or suburbs.
In almost all chains of consequences, what happens over time as the consequences unfold?(1 point)
Responses
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences travel from one type of habitat to another, until multiple habitats are affected.
Consequences decrease in size and scale and become short term.
Consequences decrease in size and scale and become short term.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences spread through the area like a ripple effect, starting in the center and radiating outward.
Consequences increase in size and scale and become longer lasting.
Consequences increase in size and scale and become longer lasting.
1 answer