Key Features Expon. f(x)'s
Growth or Decay
Growth or Decay
Word Problems
Alg1 Spiral Review
100

If, y=a(bx ), What do a and b represent? 



a=initial amount/y-intercept

b=multiplier

100

f(x)=a(.93)x

Does this functions represent exponential growth or decay? What is the percent growth/decay rate?

Exponential Decay - 7%

100

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

100


2243

100

What is the slope of this function:

y = -2/5x - 7

m = -2/5

200

Which number is the y-intercept and which is the multiplier for the function f(x)=2(3)x  

y-intercept=2

multiplier= 3

200

Find the equation for:

Passes through the points (0, 3.5) and (1, 10.5)

y=3.5(3)x

200

In exponential functions, when b>1 this will cause an exponential growth or decay?

Exponential growth

200

What will be the cost in 17 years?

$32,313.27

200

Solve: 5x + 3 = 2x - 18

x = 7

300

What is the equation for the graph below?

y = 1•2^x


300

How do I know if an exponential function is exponential decay from an equation?

If the b is in between 0 and 1


300

f(x)=a(1.07)x

Does this functions represent exponential growth or decay? What's the percent growth/decay factor?

Exponential Growth.  7%.

300


16,941 people

300

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.

400

What's the multiplier?

b=2

400

Complete all 3


-20% change

.80

4/5

400

Does the graph represent exponential growth or decay?

Exponential Growth

400

Is the function exponential growth or decay?

Decay

400

What is the solution to this system of linear equations?


(-1, -5)

500

What is the difference between linear functions and Exponential functions

Linear has a constant difference

Exponential has a constant multiplier

500

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

500

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)=$710,250.69

500

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

500

What percentage of concession stand visitors ordered a soda with no food?


7.5%

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