The relationship between the amount of money Steven charges and the time he spends babysitting is proportional because the hourly rate remains constant.
A proportional relationship between two variables means that the ratio of the two variables is constant. In other words, if the independent variable (time in this case) increases, the dependent variable (the amount of money Steven charges) will increase proportionally.
In this situation, we can see that the relationship between the amount of money Steven charges and the time he spends babysitting is proportional because the rate of change between the two variables is constant.
For example, Steven charges $31.25 for 5 hours, so his hourly rate is $31.25/5 = $6.25/hour.
And he charges $50 for 8 hours, so his hourly rate is $50/8 = $6.25/hour.
Since the hourly rate remains constant, the relationship between the amount of money Steven charges and the time he spends babysitting is proportional.
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The U.S. population increased by an average of 2.2 million people per year from January 2012 to January 2017.
To calculate the average rate of population change per year, we first need to find out how much the population changed over the given period. In this case, the US population went from 313 million people in January 2012 to 324 million people in January 2017 - a difference of 11 million people over 5 years.
Next, we divide this difference by the number of years to find the average change per year. So, 11 million divided by 5 years equals an average annual population increase of 2.2 million people over this five year period.
This method of calculating average change is an important concept in demography, the study of populations, which considers factors such as fertility, mortality, and migration.
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If the volume and the height are known, then we can find the base area of a rectangle prism by these steps:
Find the area of two sides (Length*Height)*2 sides
Find the area of adjacent sides (Width*Height)*2 sides
Find the area of ends (Length*Width)*2 ends
Add the three areas together to find the surface area
We know that,
Surface Area of Rectangular Prisms :
A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides.
Here, we have,
to find the surface area of Rectangular Prisms:
Find the area of two sides (Length*Height)*2 sides
Find the area of adjacent sides (Width*Height)*2 sides
Find the area of ends (Length*Width)*2 ends
Add the three areas together to find the surface area
Example:
The surface area of a rectangular prism 5 cm long, 3 cm. wide and 2 cm. high = 5*2*2 + 3*2*2 + 5*3*2 = 20 + 12 + 30 = 62 cm^2.
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What is 11.1 as a fraction?