Answer:
768 crimes
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
[tex]y=a(1+r)^x[/tex]
where
y ----> is the number of crimes
x ----> is the number of years since 1990
r is the rate of chance
a is the initial value
we have
[tex]a=450\ crimes\\r=2\%=2/100=0.02[/tex]
substitute
[tex]y=450(1+0.02)^x[/tex]
[tex]y=450(1.02)^x[/tex]
Determine the approximate number of crimes in the year 2017
Find the value of x
[tex]x=2017-1990=27\ years[/tex]
substitute the value of x
[tex]y=450(1.02)^{27}=768\ crimes[/tex]
