12. Population of California The population of Californía was 10,586,223 in 1950 and 23,668,562 in 1980. Assume the population grows exponentially. (a) Find a function that models the population t years after 1950. (b) Find the time required for the population to double. (c) Use the function from part (a) to predict the population of California in the year 2000. Look up California's actual population in 2000, and compare.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![of bacteria after 4.5 hours.
5.7 billion in 1995 and the observed relative growth rate
(e) When will the number of bacteria be 50,0002
18
11. World Population The population of the world we
19
20
was 2% per year.
(a) By what year will the population have doubled?
(b) By what year will the population have tripled?
12. Population of California The population of Califomiía
was 10,586,223 in 1950 and 23,668,562 in 1980. Assume
the population grows exponentially.
(a) Find a function that models the population t years after
21
1950.
22
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population
of California in the year 2000. Look up California's
actual population in 2000, and compare.
13. Infectious Bacteria An infectious strain of bacteria
increases in number at a relative growth rate of 200% per
hour. When a certain critical number of bacteria are preset
in the bloodstream, a person becomes ill. If a single
bacterium infects a person, the critical level is reached i
24 hours. How long will it take for the critical level to be
reached if the same person is infected with 10 bacteria?
23
14-22 I These exercises use the radioactive decay model.
23
14. Radioactive Rad
years. Suppose
(a) Find a f
half-life of
6 is 1600
ig sampl
s the
fter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04750898-40b6-4507-9bb8-e18bccce9e61%2F5804cab1-34e8-4091-957a-886e9309e26f%2F1ei6o2q_processed.jpeg&w=3840&q=75)
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