Exponential Functions
Finding Exponential Rule, word problems
Exponential Tables
Growth Factor/Rate
Weird roots
100
In the equation y =a(bx), what does b represent?
What is the growth rate?
100
Given a population of deer starts at 40 and increases to 60 the next year and then 90, write the exponential function that represents that information.
What is y = 40 (1.5x)
100
Does this table represents a linear or exponential pattern?
What is Linear? (constant first difference of -5)
100
What is the growth factor for something that is increasing by 25% each time?
What is 1.25
100
Simplify
8(1/3)
2
200
Given that a certain radioactive isotope decays based on the function y = 300 (0.87x), where x is in days, how much of the isotope will be left after 2 weeks?
What is 42.7
200
If a certain bacteria grew to 400 at time = 2 "x=2" and the growth factor is 1.8, what is the initial value?
What is 123.5
200
Given the table below is exponential, fill in the missing value:
What is 3.8
200
If a population of bears is decreasing with a decay factor of 0.977, what is percent decrease?
What is 2.3% decrease? (100% - 97.7% = 2.3%)
200
Simplify
16(3/2)
64
300
Given the graphs of these two exponential functions and their equations are y = 2.7x and y = 1.9x, which is red one?
What is y = 2.7x
300
I sent 50 texts on Monday, 100 on Tuesday, and 200 on Wednesday. What is the exponential equation?
What is y = 50 (2x)
300
Find the function rule that represents this table below
What is y = 120 (0.6x)
300
Daily Double
?
300
Simplify
9(5/2)
243
400
Label and identify which goes with which function rule:
a) y = 4.5 (2.7x) b) y = 4.5 (0.76x);
c) y= 4.5 (1.07x); d) y = 2 (0.87x); e) y = 2 (1.9x)
What is black (c); red (a); green (d); blue (e); purple (b)
400
I bought a video game console for $250 and it loses 2% of its value every year. What is the equation?
What is y = 250 (0.98x)
400
Give both the exponential rule with the table below.
x | y
-1 | 5
0 |
1 | 45
2 |135
What is
Exponential rule: y = 15 (3x)
400
Write the exponential function that represents this table:
What is y= 197.6 (0.632x)
400
Simplify
10(4/2)
100