Understanding Linear and Exponential Growth

The video tutorial by Vanessa covers the differences between linear and exponential growth and decay, focusing on their equations and graphical representations. It provides practice questions to help understand these concepts, emphasizing the importance of identifying growth types in SAT questions. The tutorial also includes real-world scenarios to apply these concepts and concludes with advice for further practice.

What is the main focus of the video tutorial?

• Trigonometric functions

• Linear vs Exponential Growth/Decay

• Probability and statistics

• Quadratic equations

Which equation represents linear growth or decay?

• y = ax^2 + bx + c

• y = a * b^x

• y = mx + b

• y = a/x

In a linear equation, what does a positive slope indicate?

• Linear decay

• Exponential growth

• Linear growth

• Exponential decay

What is the initial value in the linear equation y = mx + b?

• y

• b

• x

• m

Which equation represents exponential growth or decay?

• y = mx + b

• y = a * b^x

• y = ax^2 + bx + c

• y = a/x

In an exponential equation, what does a B value greater than 1 indicate?

• Exponential decay

• Linear growth

• Exponential growth

• Linear decay

What is the initial value in the exponential equation y = a * b^x?

• a

• y

• b

• x

If a population of rats grows from 20 to 25 in one year, which function best models this growth?

• P = 20 * 5^t

• P = 25 * 1.2^t

• P = 20 + 5t

• P = 20 * 1.25^t

What is the correct approach to solve an exponential growth problem?

• Use a quadratic equation

• Plug in numbers to check

• Guess the answer

• Use a linear equation

Which graph shows the strongest positive association between x and y?

• A graph with scattered points

• A graph with a downward trend

• A graph with a clear upward trend

• A graph with no trend