Parent Function
Word Problems
Evaluating
Making Predictions
Miscellaneous
100
The parent function of an exponential equation.
what is y=a*b^x
100
The initial amount of the function: g(t)=240(0.75)^t
What is 240?
100
The percentage amount of the decimal number .2554
What is 25.54%?
100
If a table has a y-value of 5 when x = 0, and a ratio of 2 what is the y-value when x = 4?
80
100
Does the following function represent growth or decay? f(t) = 2(1/3)^t
Decay
200
The letter that represents the rate of growth/decay.
What is b?
200
The rate of decay of the fuction: f(t)=475(0.5)^t
What is 0.5?
200
evaluate w(x) = 3^x when w(x) = 2187.
What is 7?
200
if a coffee shop has 1200 stores, s, 5 years after they open and 1850 stores after 7 years, about how many stores, s, will they have 6 years after they were open? a. 300 b. 1500 c. 2000
b. 1500
200
If a population of elephants increases by 48% per year, what is the value of b for this function?
1.48
300
The letter that represents the initial value.
What is a?
300
The current population of Candyland is 2000 sugar fairies. If the population is increasing at a rate of 7% each year, write an equation to represent the population after x years.
What is y=2000*(1.07)^x
300
The value of g(t) = 240(0.75)^t at g(3).
What is g(3) = 101.25
300
How can we find the rate of growth/decay from a graph?
1. Find points, then do a regression.(lists and spreadsheets) 2. Find the ratio of the y values.
300
Draw and Label an example of a function that represents: 1. growth 2. decay
Teacher decides.
400
The letter that represents the y intercept.
What is a.
400
Betty currently has $200 in her savings account. If the account earns 1.5% interest each year, write an equation that can be used to determine the total amount of money, y, she will have after x years.
What is y=200*(1.015)^x?
400
The value of f(x) = 475(0.5)^x at f(3).
What is 59.375?
400
The table below shows the population, p, of mice in the field at the end of m months. time |0| 1| 2 |3 |4 | population |6|12|24|48|96| What will be the population after 8 months?
1536.
400
Given the function w(x) = 200(0.8)^x, what is the percent decrease for every increase of x?
20%
500
The letter that represents the asymptote. (0 if there isn't one)
What is c?
500
A particular type of bacteria population on an athletes foot doubles everyday. If there were initially 50 bacteria how many will be there after x days?
What is y=50*(2)^x.
500
In 2007 there were 500 Facebook members. The number of members increased by 85% per year after 2007. Give the number of Facebook members in 2010?
What is 3166?
500
If you have a graph that shows exponential growth and the graph approaches (4,20) what will the y value be at x=5? a. more than 20 b. less than 20 c. 20
a. more than 20
500
****Daily Double**** |x |1 |2 |3 |4 |5 | |y |2 | |18 | |162| what are the values of y when x = 2 and x = 4? Both answers must be correct wagers must be in increments of 500.
when x = 2, y = 6 when x = 4, y = 54