Growth and Decay
The functions shown here which are exponential DECAY:
y = 0.5(3)x
y = 3(0.5)x
y = 2(3/5)x
y = 0.3(5/3)x
What are
y = 3(0.5)x
and
y = 2(3/5)x
The thirtieth term of the sequence 42, 38, 34, 30, ...
What is -74?
Considering the information being communicated by the formula shown below, these are the first four terms.
`a_{1}=50`
`a_{n}=a_{n-1}-5`
What are 50, 45, 40, and 35?
Looking at the graph, I can tell this equation models the function shown.
y = 10(5/4)^x
Considering the function y = 6(3)^x - 54, this is the y-intercept.
What is (0, -48)?
As a percent, the decay rate of the function y = 40(0.64)x
What is 36%?
The SIMPLIFIED explicit formula of the sequence 20, 28, 36, 44
A rumor is spreading like wildfire. If one person starts a rumor today and every day the number of people who has heard the rumor doubles, this many people will have heard the rumor doubles, this many people will have heard the rumor by election day, six days from now.
What is 64?
This is the effect of the graph when y = 6(3)^x is changed to y = 6(3)^x + 5 AND this is the equation of the new asymptote.
What is shift up 5 units and y = 5?
Considering the function y = 6(3)^x - 54, this is interval where the function is positive.
What is (2, infinity) or x>2?
The value of an account with $500 earning 2% interest each month after 2 years, rounded to the nearest cent.
What is $804.22?
A father makes a deal with his son regarding his weekly allowance. The first year, he agrees to pay his son a weekly allowance of $15. Every subsequent year, the allowance is increasing the previous year’s weekly allowance by 10%.
This RECURSIVE formula could be used to calculate the son’s weekly allowance in future years.
What is a_{n}=1.10a_{n-1}?
The equation y = 50(1.2)^x models the number of employees at a company since it was founded, where x represents the number of years since it was founded and y is the number of employees.
This and this are the DOMAIN and RANGE of the function IN THE CONTEXT of the story.
What are real numbers greater than or equal to zero and whole numbers greater than or equal to 50?
This is the effect on the graph when the equation of the function f(x)=6(3)^x is changed to create g(x) such that g(x)=-f(x)?
What is a reflection over the x-axis?
Considering the function y = 6(3)^x - 54, this is the end behavior of the function.
What are "As x approaches -infinity, y approaches -54" and
"As x approaches infinity, y approaches infinity"