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Write the Equation
Word Problems
Increasing & Decreasing
Sequences
100

This is the equation for exponential functions.

What is y=a(b)x?

100

Does the table display exponential or a linear model?

Linear; The y-values decrease (subtract) by 1 each time!

100

Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.

Write the equation to model the situation.

Linear: y=10x+40

100

Write a linear equation where y is decreasing by 5 as x is increasing by 1.

y=-5x+___

100

How can I check if a sequence is Geometric?

Divide the second term by the first term etc

200

Slope-Intercept Form for Linear Functions.

y= mx+b

200

Does the table display exponential or a linear model?

Exponential; the y-values double (multiply by 2) each time!

200

Linear or Exponential:

A strain of a virus starts with 125 cells and triples every hour. Write the equation to model the situation.

Exponential: y=125(3)x

200

Does the equation below represent exponential growth or exponential decay?

y=0.5x

exponential decay

200

A pattern that doubles each minute.

Geometric

300

Draw a graph that is exponentially decaying.

Curving down from left to right. Does not go below the x-axis.

300

Does the table display exponential or a linear model?

Exponential; the y-values are multiplying by 6 each time!

300

This is the type of function that best describes the following information. y = 10(0.5)x   Be specific!

What is exponential decay?

300

In the equation below, what is the initial value?

y=2000(1.4)x

2000

300

What type of sequence?

-3, 9, -18, 54

Geometric

r=-3

400

This is the answer when y = 10(5)x is evaluated for x=3.

What is 1250?

400

A function that starts at 3 and doubles at each stage is this kind of function.

exponential function

400

Does the equation below represent exponential growth or exponential decay? Explain how you know.

y=5(2)x

exponential growth

400

In the model below, what is the common ratio?

y=2000(1.4)x

1.4

400

 Given f(n) = f(n - 1) + 12 ; f(1) = 2

Which equation is correct?

a)  f(n) = 12 +(n - 1) -2

b)  f(n) = -2 +(n - 1) 12

c)  f(n) = 2 + (n - 1) 12

d)  f(n) = 12 + (n - 1) 12

C

500

If the input is 10 and the equation is y = 4+(1/2)x; what is the output?

y=9

500

What value is missing from the function table for  y=−0.25x−6?

 x         y 

–4        ? 

–1      –5.75

  1      –6.25

  0      –6

What is -5

500

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

Find the population 10 years from now.


y=422000(1.12)x

In 10 years, the population will be 1,310,667 people.

500

The 8th grade starts with 5000 jelly beans. They eat 15% each day.

How many jelly beans will they have after 10 days? (Round to the nearest whole number)

984 jelly beans

500

When given a graph of a sequence. Where should you look to find the first term?

where x = 1