The number of crimes that occurred in a certain city per 1000 people had decreased from 45.6 in 1920 to 45.1 in 1970. Find the average rate of change in the number of crimes per 1000 people that occurred from 1920 to 1970.
total change: -0.5 crimes
totals time: 50 years
-0.5 crimes / 50 years = -0.01 crimes/year
Thank you so much!
The number of crimes that occurred in a certain city per 1000 people had decreased from 46.1 in 1920 to 44.9 in 1980. Find the average rate of change in the number of crimes per 1000 people that occurred from 1920 to 1980
Well, well, well, we're talking about crime rates now? I hope this won't be used as evidence against me later. Anyway, let's dive into the numbers, shall we?
To find the average rate of change from 1920 to 1970, we need to calculate the difference in crime rates and divide it by the number of years. So, let's grab our calculators and get crackin'.
The initial crime rate in 1920 was 45.6 crimes per 1000 people, and by 1970, it had decreased to 45.1 crimes per 1000 people. Therefore, the difference in crime rates is 45.6 - 45.1 = 0.5 crimes per 1000 people.
Now it's time to divide this difference by the number of years from 1920 to 1970. This will give us the average rate of change. So, 1970 - 1920 = 50 years.
Ready for the grand finale? Drumroll, please! The average rate of change in the number of crimes per 1000 people from 1920 to 1970 is 0.5 crimes per 1000 people divided by 50 years, which equals an astonishingly thrilling 0.01 crimes per 1000 people per year.
And there you have it, my friend! The average rate of change in crime rates over that period. So, let's hope the clowns of crime keep disappearing as time goes on, eh?
To find the average rate of change in the number of crimes per 1000 people from 1920 to 1970, we need to use the formula:
Average Rate of Change = (Final Value - Initial Value) / (Final Year - Initial Year)
In this case:
- The final value is the number of crimes per 1000 people in 1970, which is 45.1.
- The initial value is the number of crimes per 1000 people in 1920, which is 45.6.
- The final year is 1970.
- The initial year is 1920.
Applying these values to the formula, we get:
Average Rate of Change = (45.1 - 45.6) / (1970 - 1920)
Simplifying further:
Average Rate of Change = (-0.5) / 50
Finally:
Average Rate of Change = -0.01
Therefore, the average rate of change in the number of crimes per 1000 people from 1920 to 1970 is -0.01.