Question by Clara I: How do I solve this problem on exponential growth?
The U.S Census Bureau estimates that the Hispanic population in the United States will increase from 32.4 million in 2000 to 98.3 million in 2050.
Find an exponential function that gives the Hispanic population in year x, with x=0 corresponding to 2000.
*** Help me out STEP BY STEP!!! DON’T JUST GIVE ME THE ANSWER!!!! >.< Best answer:
Answer by I’m with Stupid
P(t) = pe^(kt)
so
98.3 = 32.4e^(50k)
983 / 324 = e^(50k)
ln(983 / 324) = 50k
ln(983 / 324) / 50 = k
0.0222 ? k
so
P(x) = 32.4e^(0.0222x) ?
P(50) = 32.4e^(0.0222·50)
          ? 98.3
??
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