The rabbit population on a game reserve doubles every 6 months. Suppose there were 120 rabbits initially. (a) Use the exponential function P = P0eat to determine the growth rate constant a. (Round your answer to four decimal places.) a = (b) Use the function in part (a) to determine approximately how long (in months) it takes for the rabbit population to reach 3,100. (Round your answer to the nearest integer.) months
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Given that the population doubles every 6 months, we can set up the equation for \( t = 6 \) months: \[ 2P_0 = P_0 e^{a \cdot 6} \] Show more…
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The rabbit population on a game reserve doubles every 6 months. Suppose there were 120 rabbits initially. a. Use the exponential function $P=P_{0} a^{t} \quad$ to determine the growth rate constant $a$ . Round to four decimal places. b. Use the function in part a. to determine approximately how long it takes for the rabbit population to reach 3500 .
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A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbits. 1. When will the population be 500 rabbits? Your answer must be accurate to one decimal place. 2. If R(t) = 300, what is t? Your answer must be accurate to three decimal places. 3. Find the change in R on the interval 0 ≤ t ≤ 10 months. 4. Find ΔR on [1,2]. Round your answer to the nearest whole number. 5. Find the average rate of change of R on the interval 5 ≤ t ≤ 7 months. Your answer must be accurate to two decimal places. 6. Find ΔR/Δt on [2,5]. Your answer must be accurate to one decimal place.
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