For each growth rate, find the associated growth factor.
30% increase
30% decrease
2% increase
2% decrease
0.04% increase
0.04% decrease
100% increase
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Problem 2
Student Task Statement
In 1990, the population, , of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation approximates the number of people, in millions, in terms of the number of years, , since 1990.
By what factor does the number of people grow in one year?
If is time in decades, write an equation expressing the number of people in millions, , in terms of decades, , since 1990.
Use the model to predict the number of people in India in 2015.
In 2015, the population of India was 1,311 million. How does this compare with the predicted number?
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Problem 3
Student Task Statement
An investor paid $156,000 for a condominium in Texas in 2008. The value of the homes in the neighborhood have been appreciating (or increasing) by about 12% annually.
Select all the expressions that could be used to calculate the value of the house, in dollars, after years.
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Problem 4
Student Task Statement
A credit card has a nominal annual interest rate of 18%, and interest is compounded monthly. The cardholder uses the card to make a $30 purchase.
Which expression represents the balance on the card after 5 years, in dollars, assuming no further charges or payments are made?
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Problem 5
Student Task Statement
The expression represents an account balance in dollars after three years with an initial deposit of $1,500. The account pays 8.5% interest, compounded annually for three years.
Explain how the expression would change if the bank had compounded the interest quarterly for the three years.
Write a new expression to represent the account balance, in dollars, if interest is compounded quarterly.