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The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Respuesta :

The percentage change in the number of burglaries over the two-year period is 35% .

The change in burglaries over the two-year period to have  a 40% increase is 6.7%.

Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.

The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350

The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%

In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used

(x - 1000) / 1000 = 0.40

x - 1000 = 400

x = 1400

The change in burglaries over the two-year period to have  a 40% increase = (1400 / 1500) - 1 = 6.7%

To learn more, please check: https://brainly.com/question/9350849

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