Writing Equations for Linear and Exponential Word Problems

The video tutorial covers end behavior word problems, focusing on identifying whether they are linear or exponential functions. It explains the basic formats of linear and exponential functions, providing examples for each. The first example involves a fitness center membership, illustrating a linear function with a constant rate of change. The second example discusses laptop depreciation, demonstrating an exponential function with a percentage decrease. The tutorial aims to help students practice identifying function types and writing corresponding equations.

What is the main focus of end behavior word problems?

• Finding the maximum value of a function

• Calculating the area under a curve

• Determining if word problems are linear or exponential

• Identifying the slope of a function

In a linear function, what does the 'm' represent?

• The slope

• The y-intercept

• The exponent

• The multiplier

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the basic format of a linear function?

• f(x) = a * b^x

• f(x) = x^2 + bx + c

• f(x) = a / (1 + bx)

• f(x) = mx + b

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In an exponential function, what does the 'a' represent?

• The rate of change

• The slope

• The beginning amount

• The exponent

Tags

CCSS.HSF.LE.B.5

What is the basic format of an exponential function?

• f(x) = mx + b

• f(x) = a * b^x

• f(x) = x^2 + bx + c

• f(x) = a / (1 + bx)

If a fitness center charges a membership fee of $50 and $24 per month, what type of function represents the total cost?

• Linear

• Exponential

• Quadratic

• Logarithmic

In the fitness center example, what is the slope of the linear function?

• $74

• $50

• $24

• $0

Tags

CCSS.8.EE.B.5

If a laptop depreciates at a rate of 29% per year, what type of function represents its value over time?

• Logarithmic

• Quadratic

• Exponential

• Linear

In the laptop depreciation example, what is the multiplier 'b' in the exponential function?

• 0.29

• 0.71

• 1.71

• 1.29

Tags

CCSS.HSF.LE.A.2

What does the term 'depreciate' mean in the context of the laptop example?

• To lose value

• To remain constant

• To double in value

• To increase in value

Tags

CCSS.RI.11-12.4

CCSS.RI.8.4

CCSS.RI.9-10.4

CCSS.RL.11-12.4

CCSS.RL.9-10.4