The function y = 6.2(1.01)^x models a pest population in billions, where x is the number of years after 2000. What will be the p
est population in 2012? Give the answer to the nearest hundredth.
1 answer:
The correct answer is: 6.99 billion (as 6.986 billion is rounded off (to nearest hundredth place) to 6.99 billion)
Explanation:
The given function is: <span>y = 6.2(1.01)^x --- (1)
Where x = </span><span> number of years after 2000
It means that in 2012, the value of x would be 12 as the difference between 2012 and 2000 is 12 years.
Put x = 12 in equation (1):
(1) => y = </span>6.2(1.01)^12 = 6.986 billion = 6.99 billion
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Step-by-step explanation:
2x-y=8...(1)
x+y=7....(2)
from (2)
y=7-x....(3)
put (3) into (1)
2x-(7-x)=8
2x-7+x=8
2x+x=8+7
3x=15
x=5.....(4)
put (4) into (2)
x+y=7
5+y=7
y=7-5
y=2
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