4 5 Exponential Growth And Decay
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This document discusses exponential growth and decay models and how to model data using exponential regression on a graphing calculator. It provides examples of modeling logistic growth and exponential growth/decay data by entering x and y values into lists on the calculator, performing exponential regression to determine the a, b, and r-squared values, and using these values to write the exponential equation in the form of y=ab^x or y=ae^bx.
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This document discusses geometric sequences and series. It lists 4 objectives: 1) Identifying geometric sequences by listing the first term and common ratio, 2) and 3) Contain no information but indicate additional objectives, 4) Contains no information. The example geometric sequence given is 2, 8, 32, 128, ... with a first term of 2 and common ratio of 4.
Sulpcegu5e ppt 12_2
This document contains objectives and problems regarding arithmetic sequences. Objective 1 introduces arithmetic sequences and asks to identify the first term and common difference of sequences. Objective 2 asks to find specific terms in arithmetic sequences and identify the first term and common difference given additional information. Objective 3 asks to find sums of terms in arithmetic sequences and evaluate numeric expressions that represent arithmetic sequences. The final problem asks to calculate the total number of seats in a stadium section where each row has two more seats than the row in front of it.
Sulpcegu5e ppt 12_1
This document discusses sequences and provides 5 objectives: 1) introduce sequences, 2) define a recursively defined sequence and write out its first 5 terms, 3) another objective discussing sequences, 4) another objective discussing sequences, 5) another objective discussing sequences.
Sulpcegu5e ppt 11_8
A factory manufactures two types of ice skates - racing skates and figure skates. Racing skates require 8 hours of fabrication and 2 hours of finishing while figure skates require 4 hours of fabrication and 2 hours of finishing. The factory's fabrication department has 224 hours available per day and the finishing department has 72 hours available. The problem is to determine the number of each type of skate to manufacture daily to maximize profit, where racing skates yield $15 profit each and figure skates yield $12 profit each.
Sulpcegu5e ppt 11_8
A factory manufactures two types of ice skates - racing skates and figure skates. Racing skates require 8 hours of fabrication and 2 hours of finishing while figure skates require 4 hours of fabrication and 2 hours of finishing. The factory's fabrication department has 224 hours available per day and the finishing department has 72 hours available. The problem is to determine the number of each type of skate to manufacture daily to maximize profit, where racing skates yield $15 profit each and figure skates yield $12 profit each.
Sulpcegu5e ppt 11_7
This document discusses systems of inequalities and contains 3 objectives: the first objective covers half-planes, the second objective is not specified, and the third objective is also not specified.
Sulpcegu5e ppt 11_6
This document discusses solving systems of nonlinear equations. It recommends graphing the equations if there are two variables and the equations are easy to graph, as this allows you to see how many solutions there are and their approximate locations. It also notes that extraneous solutions can occur when solving nonlinear systems, so all apparent solutions must be verified.
Sulpcegu5e ppt 11_5
This document discusses partial fraction decomposition and outlines 4 objectives: 1) decompose rational functions into partial fractions, 2) find the coefficients of the partial fractions, 3) use partial fraction decomposition to evaluate integrals, and 4) use partial fraction decomposition to solve application problems.
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Recent Advances in Math Interventions. Programs Tactics Strategies.Handouts.pdf
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4 5 Exponential Growth And Decay
- 1. Section 4.5 Exponential Growth and Decay; Modeling Data
- 2. Exponential Growth and Decay
- 4. Example
- 7. Example
- 8. The Art of Modeling
- 10. Graphing Calculator - Exponential Regression Press STAT then EDIT 1. Type in the values in List 1 (x values) and List 2 (y values). Then STAT, move over to CALC and press 0. You will get values for a, b, r and r 2 . The values of a and b go into the equation y= a*b^x or y=ab x .
- 11. Example See the next screen for continuation of example. 780 6 312 5 123 4 49 3 18 2 8 1 L2 L1
- 14. Expressing y=ab x in Base e
- 16. Example
- 17. (a) (b) (c) (d)
- 18. (a) (b) (c) (d)