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raieliz1414
29.06.2019 •
Mathematics
In 2000, the population of a state was 6.8 million people and was growing at a rate of about 0.32% per year. at this growth rate, the function f (x) = 6.8(1.0032)x gives the population, in millions x years after 2000. using this model, find the year when the population reaches 7 million people. round your answer to the nearest whole number. the population will reach approximately 7 million people during the year.
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Ответ:
9 years. Rounded.
Step-by-step explanation:
Givens
f(x) = 7 (the amount you would like to see reached which is 7 million).
6.8 = Current population.
1.0032 = the base increase.
x = the number of years
Equation
f(x) = Current* Base^x
Solution
7 = 6.8 * (1.0032)^x Divide both sides by 6.8
7/6.8 = 6.8* (1.0032)^x/6.8 Do the division
1.0294 = (1.0032)^x Take the log of both sides. (You could use ln)
log(1.0294) = x * log(1.0032) Calculate.
0.0126 = x * .001387 Divide by 0.001387
0.0126/0.001387 = x Divide
9.08 years. = x Answer
Ответ:
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Step-by-step explanation:
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