What is the most abundant state of matter in the universe? (1 point)
plasma
gas
liquid
solid
Plasma.
What is a common feature of both plasmas and gases? (1 point)
They both have rigid shapes.
They both have high densities.
They both have charged particles.
They both have high energy contents
They both have charged particles.
What does the Kinetic Molecular Theory state? (1 point)
The amount of space is smallest in gases and greatest in solids.
Matter is made of small particles that are not in constant motion.
The temperature of a substance is a measure of the average kinetic energy of its particles.
The strength of the attractive forces between particles increases as the distance between particles
The temperature of a substance is a measure of the average kinetic energy of its particles.
What is a phase transition?
(1 point)
the temperature at which the vapor pressure of a liquid equals the pressure surrounding it so that the liquid changes into a vapor
a physical change in which matter transformsfrom one state to another
a temperature-time graph that shows what happens as a substance is heated
a unique attribute that helps identify a substance
A phase transition is a physical change in which matter transforms from one state to another.
When is it appropriate to model data with a linear function? Give an example of real-world data that can be modeled with a linear function. Include the linear function and a sample of the data. Give multiple examples
It is appropriate to model data with a linear function when there is a linear relationship between the independent variable and the dependent variable. This means that as the independent variable changes, the dependent variable changes by a constant amount.
Example 1: Distance vs. Time
Suppose we have a scenario where the distance traveled by a car is directly proportional to the time it takes. If we have data showing the time and corresponding distance traveled, we can model it with a linear function. Let's assume the data is as follows:
Time (hours): 1, 2, 3, 4, 5
Distance (miles): 50, 100, 150, 200, 250
We can use a linear function to represent this relationship as:
Distance = 50 * Time
Example 2: Cost vs. Quantity
Consider a situation where the cost of buying a certain item is directly proportional to the quantity purchased. If we have data showing the quantity and corresponding cost, we can model it with a linear function. Assume the data is as follows:
Quantity: 1, 2, 3, 4, 5
Cost ($): 10, 20, 30, 40, 50
We can use a linear function to represent this relationship as:
Cost = 10 * Quantity
Example 3: Population vs. Time
Let's say we have data regarding the population growth of a city over a period of time. If the population growth is constant, we can model it with a linear function. Assume the data is as follows:
Time (years): 2000, 2005, 2010, 2015, 2020
Population (thousands): 100, 120, 140, 160, 180
We can use a linear function to represent this relationship as:
Population = 20 * (Time - 2000) + 100
In all these examples, there is a direct, linear relationship between the variables, allowing us to model the data with a linear function.