Purchase Solution

Graph and rate of change of a function y=100(1.5^x)

Not what you're looking for?

Ask Custom Question

Given the exponential function; y=100(1.5)^x, determine by the numerical method the average rate of change by calculating the slope at several arbitrarily chosen points shown below.

a) Construct the data set and compute values of y for x=0, 1, 2, 3, 4, 5. Graph the function over these x values and explain in your own words what the relationship means.

b) Compute the slope of the secant line in between each x value and superimpose the graph of these slope values over the original graph.

c) Determine a functional statement or equation that best describes the relationship between the slope and the x values.

Purchase this Solution
Solution Summary

The solution constructs a data set and compute values of y for different values of x. This function is graphed.

Solution Preview

Given the exponential function; y=100(1.5)^x, determine by the numerical
method the average rate of change by calculating the slope at several
arbitrarily ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Polynomial Functions

    In order to shift a graph, you have to change the values of a0 and a1. So, going from the 1st function to the second function, we changed a0 from 0 to 1.5 and the graph shifted upwards.

  • Polynomial, rational, exponential and logarithmic functions.

    In order to shift a graph, you have to change the values of a0 and a1. So, going from the 1st function to the second function, we changed a0 from 0 to 1.5 and the graph shifted upwards.

  • Deriving IS, LM and aggregate demand curves

    With the Y = 1.5(M/P) function and the long-run supply function of Y=3000 value, I again equaled both equations to find P* first, and then Y*.

  • Functions domains and range

    542184 Functions domains and range 1. Find the average rate of change of f(x)=x^3-9x+9: a) from -8 to -2 b) from -1 to 1 c) from 1 to 4 a) What is average rate of change of f (x) =x^3-9x+9 from -8 to -2? 2.

  • Definite Integrals and Rate of Change

    Use a graph of to explain why must be between 0 and 2. (Try x values from -1 to 1 with major units of 0.2 and y values from 0 to 1.2 with major units of 0.2.) Insert your graph.

  • Exponents, graphs, and equations

    He ran a regression using data for a period of 50 years and the following model was produced: Y = -5.0 +7X A. Use the model to predict the percentage change in the S&P if the percentage change in productivity is @% (X=2) B.

  • Economics Demand Function

    PX = Price of related good X a) If M = $ 60,000 and PX = $100, what is the reduced demand function for good Y?

  • IS/LM model in economics

    r as a function of Y, G and T our formula would be: 25r= 400- 0.75T +0.75Y + G r=16-0.03*T-0.01*Y+0.04*G Since government purchases and taxes are both 100: G=T=100 r=16-0.03*100-0.01*Y+0.04*100 Then our formula and the function of IS curve at

  • linear equation and graph of parabola

    256235 Matching graphs to a function. 1. Ture or false: The ordered pair (-1, 4) is a solution to the linear inequality: -5x + 2y < = 13 2. We know that y varies directly with x, and y = 1.5 when x = 0.3.

View More Related Solutions