Linear or Exponential?
Write a function/sequence
Evaluate functions/sequences
Random
100

 After a morning coffee, Mr. Sullivan has 130 mg of caffeine c in his blood.  The half-life is 2 hours h.  How much caffeine is in his system after 7 hours?

Exponential Function

100
Billy invests $400 in a savings account which pays 5% annually. Write a function for the value of his account after x years.
y=400*(1.05)^x
100
A population of 2000 fish increases at an annual rate of 7.5%. How many fish will there be in 10 years?
2000(1+.075)^10 4122 fish
100
What comes next if the function is linear? x 0 1 2 y 3 6 ?
x 0 1 2 y 3 6 9
200

A $900 sound system decreases in value v by $70 each year t.

LINEAR FUNCTION

200
Jerry has $5.25 and adds 25 cents to his piggy bank every day. Write a function for the value of his piggy bank after x days.
y=5.25+25x
200
A geometric sequence has an initial value of 25 and a common ratio of -2. Write the first 4 terms of this sequence.
25,-50,100,-200
200
Write an example of a recursive formula
http://media.showmeapp.com/files/1000081478/pictures/thumbs/1943228/last_thumb1426091962.jpg
300
What comes next if the function is exponential? x 0 1 2 y 3 6 ?
x 0 1 2 y 3 6 12
300
Men's marathon times, in hours, are modeled by the formula y=2.61(0.997)^x. where x is the years since 1908. a. Does the exponential function represent growth or decay? b. What was the marathon time in 1908?
a. decay b. 2.61 hours.
300
The starting salary at a company is $30,000 per year. The company automatically gives a raise of 3.5% per year. What is the salary the 4th year?
30000(1.035)^4-1= $33,261.54
300
The first 4 terms of a geometric sequence are 1024,512,256, 128, what is the 10th term?
1024 (1/2)^(10-1)= 2
400
Billy invests $400 in a savings account which pays 5% annually.
What is exponential
400
25,5,1,.2. Write an explicit formula for this sequence.
a(n)=25(1/5)^n-1
400
In 2013, Hayden purchases a new 2013 Ford Mustang convertible for $27,200. The annual depreciation rate is 12%. How much will Hayden’s mustang be worth in 2019?
27200(1-.12)^6 $12,631.79
400
The first 4 terms of an arithmetic sequence are 14,19,24,29. What is the 47th term of the sequence?
14+5(46)= 244
500
Jerry has $5.25 and adds 25 cents to his piggy bank every day.
What is linear
500
Write an explicit formula for the sequence: (1/9),(1/3), 1 , 3
an=(1/9)*3^n-1
500
There are 150 worms on the sidewalk. The number grows 10% every 20 minutes. How many worms on the sidewalk after 2 hours?
150(1+.10)^6= 266 worms
500
The first term in a geometric sequence is 3. The 3rd term is 48. What is the common ratio of the sequence?
What is 4
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