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Question 1 of 5: Solve each word problem.
A certain breed of kangaroo was introduced onto a small island 1 year and 8 months ago. The current kangaroo population on the island is 100 and doubling every 10 months. What is the kangaroo population on the island after 5 years?
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A
6,400
B
10,200
C
1,600
D
4,800
E
960
Question 2 of 5: Solve each word problem.
A culture starts with 5,000 bacteria, and the number doubles every 20 minutes. Find the function n(t) = n0ert that models the number of bacteria after t hours.
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A
$$n(t)=5{,}000e^{1.08567t}$$
B
$$n(t)=5{,}000e^{2.07944t}$$
C
$$n(t)=5{,}000e^{1.99801t}$$
D
$$n(t)=5{,}000e^{0.07113t}$$
E
$$n(t)=5{,}000e^{3.17552t}$$
Question 3 of 5: Solve each word problem.
The half-life of radium-226 is 1,600 years. A lab obtains a 40-milligram sample. After how many years will 32 milligrams of the sample remain?
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A
625 years
B
515 years
C
820 years
D
411 years
E
756 years
Question 4 of 5: Solve each word problem.
At an archeological dig site, a piece of fossilized bone from an animal was found to contain 30% of the carbon-14 that it originally had. If we use 5,600 years as the half-life of carbon-14, when did the animal die?
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A
8,548 years ago
B
13,206 years ago
C
977 years ago
D
11,599 years ago
E
9,727 years ago
Question 5 of 5: Solve each word problem.
A bottle of orange juice has an initial temperature of 70°F. The orange juice is placed in a cooler that has a temperature of 45°F. After 10 minutes, the orange juice has a temperature of 55°F. What is the temperature of the juice after 15 minutes?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
46°
B
54°
C
48°
D
53°
E
51°

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