Chapter 3 Test - Precalculus Honors

The rabbit population in a forest area grows at the rate of 9% monthly. If there are 190 rabbits in July, find how many rabbits (rounded to the nearest whole number) should be expected by next July. Use y = 190(2.7)^0.09t.

• A) 555

• B) 568

• C) 542

• D) 554

The size of the bear population at a national park increases at the rate of 4.6% per year. If the size of the current population is 152, find how many bears there should be in 4 years. Use the function f(x) = 152e^0.046t and round to the nearest whole number.

• 181

• 183

• 187

• 185

• $9003.60

• $7452.93

• $8060.16

• $12,911.25

Find the accumulated value of an investment of $4,000 at 9% compounded continuously for 4 years.

• $5,833.32

• $5,733.32

• $5,646.33

• $5,440.00

Suppose that you have $3,000 to invest. Which investment yields the greater return over 9 years: 7.5% compounded continuously or 7.6% compounded semiannually?

• Both investment plans yield the same return.

• $3,000 invested at 7.6% compounded semiannually over 9 years yields the greater return.

• $3,000 invested at 7.5% compounded continuously over 9 years yields the greater return.

The function f(x) = 1 + 1.5 ln (x + 1) models the average number of free–throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After 105 days of practice, what is the average number of consecutive free throws the basketball player makes?

• 11 consecutive free throws

• 8 consecutive free throws

• 12 consecutive free throws

• 9 consecutive free throws

The long jump record, in feet, at a particular school can be modeled by f(x) = 18.8 + 2.5 ln (x + 1) where x is the number of years since records began to be kept at the school. What is the record for the long jump 21 years after record started being kept? Round your answer to the nearest tenth.

• 26.5 feet

• 26.3 feet

• 26.4 feet

• 21.3 feet

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places: log₅9

• 1.3652

• 0.2553

• 0.7325

• 1.6532

• 4.84

• 0.91

• 0.78

• 1.28

• -1.13

• 2.20

• -0.80

• -1.21