Exponential Functions
Finding Exponential Rule
Exponential vs. Other
Growth Factor/Rate
Expt vs. Log
100
In the equation y =a(bx), what does b represent?
What is the growth or decay factor?
100
Given a population of deer starts at 40 and increases to 60 the next year, write the exponential function that represents that information.
What is y = 40 (1.5x)
100
Does this table represents a linear, quadratic, 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
What is the log form of this exponential expression?
expt2(6)=64
What is log2(64)=6
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 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 by a factor of 0.977, what is the decay rate?
What is 2.3% decrease? (100% - 97.7% = 2.3%)
200
Solve for x
log7(49) = x
What is 2?
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
If the number of snowflakes was 300 at time = 3 and at time = 6 it was up to 1500, write the exponential function for this.
What is y = 5 (1.71x)
300
Find the function rule that represents this table below
What is y = 120 (0.6x)
300
Given the table
What is the growth factor per unit?
What is 0.795? (
(8/20)^(1/4)
300
Solve for x
10x = 3999
What is 3.602 (log 3999)
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
Find the exponential rule for a chemical compound that has a half life of 52 years and an initial amount of 250 g.
What is y = 250 (0.987x) or y = 250(1/2)x/52
400
Give both the linear AND exponential rule with the table below.
What is
Linear rule: y = 124 - 11x
Exponential rule: y = 162.6 (0.838x)
400
Write the exponential function that represents this table:
What is y= 197.6 (0.632x)
400
Solve for x
expt6(x) = 59
What is 2.276