Writing Exponential Equations for Word Problems

This video tutorial teaches how to write exponential equations for word problems by identifying clues within the context. It covers examples like a piggy bank scenario and population growth, explaining the steps to derive equations and addressing common misunderstandings with percent changes.

What is the general form of an exponential equation?

• y = aB^X

• y = aB + X

• y = a + bX

• y = aX + b

If you start with $0.25 and double it every year, what is the equation to find the amount after X years?

• y = 0.25 * X^2

• y = 0.25 + 2X

• y = 0.25 + X^2

• y = 0.25 * 2^X

What is the first step in writing an explicit equation for a word problem?

• Identify the initial amount

• Look for repetitive multiplication

• Solve the equation

• Determine the constant multiplier

How do you adjust a percentage increase to use in an exponential equation?

• Add the percentage to 100% and convert to a decimal

• Multiply by the percentage

• Subtract the percentage from 100% and convert to a decimal

• Divide by the percentage

If a car depreciates by 8% in value, what multiplier should be used in the exponential equation?

• 0.08

• 1.08

• 0.92

• 1.92

What is the initial population in the example of the small town's growth?

• 100

• 1000

• 10,000

• 1,000,000

What is the constant multiplier for a 2% annual increase in population?

• 0.02

• 1.02

• 0.98

• 2.00