Growth or Decay
1a) r(t) = 250 (1/6)t
decay
7a) Samuel has 2,300 in his bank account. Every month he adds $200. Write an equation where m is the number of months and d is the number of dollars.
d = 200m + 2300
3a) Determine what the graph is showing.
6a) Find h (3)
h(3) = 64
2) Which statements are true.
True: A, C, E
1b) s(t) = 10 (3/2)t
growth
7b) Sue planted five trees last year. Her goal is to triple the amount of trees she plants every year. Write an equation where t represents the number of years since last year and n represents the total number of trees she plants in a given year.
n = 5(3)t
3b) Determine what the graph is showing
Exponential Decay
6a) Find h(-3)
h(-3) = 244.14
1f) Which equation shows the greatest initial population?
A) r(t) = 250(1/6)t
B) s(t) = 10 (3/2)t
C) w(t) = 100 (1/2)t
D) v(t) = 3(4)t
A- 250
1c) w(t) = 100 (1/2)t
decay
7c) Carlos has 2500 and loses 1/3 of it every month due to bad habits. Write an equation where m represents the amount of months since since Carlos had $2500 and r represents the remaining amount.
r = 2500(2/3)m
3c) Determine what the graph is showing
Exponential Growth
6b) What does h(-3) mean in this situation. Does it make sense? Why or why not?
The height of the ball 3 bounces before the initial height at which it was dropped. It does not make sense because the drop height is the highest point.
6)What does 4/5 represent in the equation?
Therefore the height is 4/5 of it's height from the bounce prior.
1d) v(t) = 3(4)t
growth
7d) Sharon has 2000 piece puzzle. Sharon made a deal to put together 50 pieces every night. Write an equation where d represents the days and p represents how many pieces Sharon has left based on the day.
p = 2000 - 50d
3e) Determine what the graph is showing
Decreasing Linear
9) Solve for y, when x = 1
y=45
11a) What does 20,000 represent in the context?
20,000 are in the trust fund when the child gained access.
1e) Which equation has the greatest growth?
A) r(t) = 250(1/6)t
B) s(t) = 10 (3/2)t
C) w(t) = 100 (1/2)t
D) v(t) = 3(4)t
D
8b) Write an equation to represent the table.
y = 192 (4)x
A computer doubles in cost each year. Which graph on #3 could represent this scenario?
3d
5) An equation to represent the table is v(d) = 250 (2)d
What does v(3) represent in this situation
The dollar value of the bond, 3 decades after it was bought.
9) What is the y intercept? How do you know?
135, that is the initial value in the equation.