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Subject Test Math 2

Question 21 of 28

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SAT Subject Test

In January 1990 the world’s population was 5.3 billion. Assuming a growth rate of 2 percent per year, the world’s population, in billions, for t years after 1990 can be modeled by the equation P equals 5.3 left parenthesis 1.02 right parenthesis to the power of t end exponent. According to the model, the population growth from January 1995 to January 1996 was

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106 comma 000 comma 000

Correct Answer: 
No

114 comma 700 comma 000

Correct Answer: 
No

117 comma 000 comma 000

Correct Answer: 
Yes

445 comma 600 comma 000

Correct Answer: 
No

562 comma 700 comma 000

Correct Answer: 
No

The correct answer is C.

According to the model, the world’s population in January 1995 was 5.3 left parenthesis 1.02 right parenthesis to the power of 5 end exponent and in January 1996 was 5.3 left parenthesis 1.02 right parenthesis to the power of 6 end exponent. Therefore, according to the model, the population growth from January 1995 to January 1996, in billions, was 5.3 left parenthesis 1.02 right parenthesis to the power of 6 end exponent minus 5.3 left parenthesis 1.02 right parenthesis to the power of 5 end exponent, or equivalently, 5.3 left parenthesis 1.02 right parenthesis to the power of 5 end exponent left parenthesis 0.02 right parenthesis left parenthesis 10 to the power of 9 end exponent right parenthesis almost equal to 117 , 000 , 000.

Question Difficulty: 
hard