Unit 7 Study Guide

Front

Back

The 68 is the initial number of cells.

Front

Back

The 3 indicates that the number of cells triples every minute.

Front

If a population of mosquitoes grows at a rate of 25% a month, how do you calculate the future population?

Back

Use the formula: Future Population = Initial Population * (1 + Growth Rate)^Number of Months.

Front

What is the formula for compound interest?

Back

The formula is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.

Front

How do you determine the balance of an investment after a certain number of years with compound interest?

Back

Substitute the values into the compound interest formula and solve for A.

Front

What does it mean for a population to double each week?

Back

It means that the population size becomes twice as large as it was the previous week.

Front

What is the general form of an exponential decay function?

Back

The general form is y = a(b)^t, where 0 < b < 1.

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Back

The value 800 represents the initial amount of debt in billions of dollars.

Front

What does the base of an exponential function indicate in terms of growth or decay?

Back

If the base is greater than 1, it indicates growth; if the base is between 0 and 1, it indicates decay.

Front

How do you find the percent decrease in a quantity?

Back

Percent Decrease = ((Original Value - New Value) / Original Value) * 100.