Unit 5 Mid Unit Test Review

Growth or Decay

100

1a) r(t) = 250 (1/6)^t

decay

200

1b) s(t) = 10 (3/2)^t

growth

300

1c) w(t) = 100 (1/2)^t

decay

400

1d) v(t) = 3(4)^t

growth

500

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

What's the equation

100

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

200

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

300

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

400

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

500

8b) Write an equation to represent the table.

y = 192 (4)^x

Examine the Line

100

3a) Determine what the graph is showing.

Increasing Linear

200

3b) Determine what the graph is showing

Exponential Decay

300

3c) Determine what the graph is showing

Exponential Growth

400

3e) Determine what the graph is showing

Decreasing Linear

500

A computer doubles in cost each year. Which graph on #3 could represent this scenario?

3d

Evaluate the function

100

6a) Find h (3)

h(3) = 64

200

6a) Find h(-3)

h(-3) = 244.14

300

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. 

400

9) Solve for y, when x = 1

y=45

500

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. 

Parts of an Equation

100

2) Which statements are true.

True: A, C, E

200

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

300

6)What does 4/5 represent in the equation?

The height of the ball decreases by 1/5 after each bounce. 

Therefore the height is 4/5 of it's height from the bounce prior. 

400

11a) What does 20,000 represent in the context? 

20,000 are in the trust fund when the child gained access.

500

9) What is the y intercept? How do  you know?

135, that is the initial value in the equation.