Linear or Exponential
1 -6
2 4
3 14
4 24
State whether the table has a common difference or common ratio. Then give the value.
Common Difference of 10
Write the equation for a linear equation with a y-intercept of 12 and a common difference of -2.
y = -2x + 12
Find f(9).
f(x) = -3x + 20
-7
Mika is putting $20 in the bank. Each year, the bank will double her money. Write an equation to represent the amount of money she will have in the bank after "t" years.
y = 20(2)t
Hannah's yogurt has 3 bacteria cells. Each hour, the number of bacteria in her yogurt doubles. How many bacteria cells will there be in 7 hours?
384
1 3
2 12
3 48
4 192
State whether the table has a common difference or common ratio. Then give the value.
Common Ratio of 4
Write the equation for an exponential function with a y-intercept of 3 and a common ratio of 7.
y = 3(7)x
Find f(5).
f(x) = 6(2)x
192
A painting is valued at $12,000 today. The value of the painting is estimated to increase at a rate of 3% annually. Write an equation to represent the value of the painting after "t" years.
y = 12000(1.03)t
Mark has saved $35 from doing chores. His parents promise him that if he continues to do his chores, they will triple his money every month. If Mark does his chores, how much money will he have after one year?
$18,600,436
1 500
2 100
3 20
4 4
State whether the table has a common difference or common ratio. Then give the value.
Common Ratio of 1/5
Write the equation:
1 -6
2 18
3 -54
4 162
y = 2(-3)x
Find f(3/2)
f(x) = 3(4)x
24
Mr. Miller's car is valued today at $24,500. The value of the car is expected to decrease at a rate of 4.5% each year. Write an equation to represent the estimated value of the car after "t" years.
y = 24500(.955)t
Carter's car is currently valued at $34, 900. The value of the car is expected to depreciate by 2.5% each year. What will the value of the car be in 6 years?
$29, 981. 48
1 42
3 34
5 26
7 18
State whether the table has a common difference or common ratio. Then give the value.
Common Difference -4
Write the equation:
1 32
2 27
3 22
4 17
y = -5x + 37
Find f(-1)
1 -500
2 250
3 -125
4 62.5
-2000
There are 27 field mice living together. The population is expected to increase by a rate of 12% each month. Write a function that models the number of mice after "t" months.
y = 27(1.12)t
An art gallery has a painting valued at $1,200. The painting is expected to increase in value by 1.5% each year. What will the value of the painting by in 10 years?
$1392.65
1 25
2 -50
3 100
4 -200
State whether the table has a common difference or common ratio. Then give the value.
Common Ratio of -2
Write the equation:
1 480
2 -240
3 120
4 -60
y = -960(-1/2)x
Find f(26)
1 -20
2 -12
3 -4
4 4
180
The population of wild ducks in Lake County is 1700. The population is expected to decrease at a rate of 2% each year. Write an equation to represent the population of ducks after "t" years.
y = 1700(0.98)t
45 ants