If, y=a(bx ), What do a and b represent?
a=initial amount/y-intercept
b=multiplier
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay - 7%
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
2243
What is the slope of this function:
y = -2/5x - 7
m = -2/5
Which number is the y-intercept and which is the multiplier for the function f(x)=2(3)x
y-intercept=2
multiplier= 3
Find the equation for:
Passes through the points (0, 3.5) and (1, 10.5)
y=3.5(3)x
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
What will be the cost in 17 years?
$32,313.27
Solve: 5x + 3 = 2x - 18
x = 7
What is the equation for the graph below?
y = 1•2^x
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
f(x)=a(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
16,941 people
TRUE or FALSE: (2, -3) is a solution to this system of inequalities.
FALSE; this point is on a dashed line so it is NOT included in the solution.
What's the multiplier?
b=2
Complete all 3
-20% change
.80
4/5
Does the graph represent exponential growth or decay?
Exponential Growth
Is the function exponential growth or decay?
Decay
What is the solution to this system of linear equations?
(-1, -5)
What is the difference between linear functions and Exponential functions
Linear has a constant difference
Exponential has a constant multiplier
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
f(x)=26400(.88)3.5=$16,876.92
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
A vine is 24 inches long. If the plant grows by 20% each year, how long will the vine be in 5 years?
59.7 inches
What percentage of concession stand visitors ordered a soda with no food?
7.5%