warm up hw check jeopardy exponents graphsexponential growth/decay compound interest random q $100 q...

Warm Up

HW Check

JeopardyExponents Graphs Exponential

Growth/DecayCompound

InterestRandom

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

$100 Question

(-3x3y)2

$200 Question

2x5

8x8

$300 Question

4a (3b)2

$400 Question

(x0y-2z3)4

$500 Question

3xw-4

$100 Question

Graph the function y = 2(2)x in your calculator.

What are the x and y

intercepts?

$200 Question

Two functions are graphed on the same coordinate plane. The parent function f(x) = 4(2)x and the translated function g(x) = 4(2)x-3 + 6.

Describe how the graph of the new function compares to the parent function.

$300 Question

Identify the horizontal asymptotes.a) b)

$400 Question

Describe the translation

Parent function Translated Function

y = 5x y = 5x+6 - 2

$500 Question

Write an equation for the function.

Use a base of 3.

$100 Question

Identify the percent rate of change for each function.

a) y = 100(1.15)x

b) y = 25(.80)x

$200 Question

A population of one-hundred bacteria triple every 4 months. Find the population after 1 year.

$300 Question

The value of a $400 cell phone depreciatesat a rate of 8% per year. How much is the

phone worth after 3 years?

$400 QuestionA population of 100 trout doubles every 2 months. Fill in the table and graph the first 3 intervals of growth.# of 2 month cycle

0 1 2 3

# of trout

How many trout are there after 6 months?

$500 Question

The value of a $200,000 home increases by 2% per year.

How much is the home worth after 5 years?

$100 Question

You deposit $600 in an account that pays 4.5% interest compounded yearly. How

much money will be in your account after 4 years?

$200 QuestionTommy can describe the interestthat he gets from his bank account by the formula below. a) What was his initial deposit?

b) What is his annual interest rate?

y = 1250(1 + .075)x

$300 Question

How much money, to the nearest dollar, will be in an account after 4 years that started with

$550 and has an interest rate of 9% compounded quarterly.

$400 Question

Explain what each of the following numbers stands for in this equation.

y = 1500(1 + .08/2)2(5)

$500 Question (not compound interest)You are playing a game where for the first correct answer you win $1 and for each subsequent question you win double the

amount of the previous question.

a) Write a NOW-NEXT equation to model this b) Write an explicit equation to model thisc) Which of the following graphs could be used to model this situation?

$100 Question

Evaluate if a = -1 and b = 2

a3b0

$200 Questiona) Do the following tables represent exponentialgrowth or decay?

b) What is the common ratio for each?

x 1 2 3

y 12 3 0.75

x 1 2 3

y 0.5 1.5 4.5

#1 #2

$300 Question

The growth rate of a population is described by y = 900(1.01)x

a) Describe what the point (0,900) means on this graph.

b) What rate is the population growing by?

$400 QuestionAn organism divides into 2 every 2 hours. a) If there are 10 of these organisms how many will there be after 20 hours?

b) How many will there be after 1 day?

$500 QuestionA radioactive substance has a half-life of 150 years. If there are 250 grams of this substance today…

a) Write an explicit equation

b) Determine how much of this substance will remain in 600 years