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Rate Of Change and Initial Value

Total questions: 46

Worksheet time: 2hrs 53mins

Name
Class
Date
1.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
2.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
3.
What is the rate of change in the equation?
y=8x+6
a)
8
b)
6
4.
What is the initial value?
a)
-3
b)
0
c)
3
d)
20
5.
What is the initial value?
a)
1
b)
2
c)
9
d)
11
6.
What is the initial value in this equation?
y=8x+6
a)
8
b)
6
7.
Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?
a)
50
b)
125
8.
The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?
a)
Yes, 10 calls per minute
b)
Yes, $.10 per minute
c)
Yes, $.40 per minute
d)
Not a constant rate
9.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
10.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
11.
At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
12.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
13.
Find the rate of change
a)
1
b)
2
c)
11
d)
slopeNot a constant slope/Non-Linear
14.
What is the initial value?
a)
0
b)
1
c)
8
d)
10
15.
What is the initial value?
a)
0
b)
2
c)
2.6
d)
5.2
16.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
17.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the rate of change?

a)

75 feet per hour

b)

75 hours per feet

c)

-75 feet per hour

d)

-75 hours per feet

18.

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba divers rate of change?

a)

-2.33 feet per second

b)

-0.43 feet per second

c)

2.33 feet per second

d)

0.43 feet per second

19.
Analyze the point (3, 27). What does the point represent? 
a)
The point (3,27) represents 27 shirts for $3. 
b)
The point (3,27) represents $27 for 3 shirts. 
20.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
21.

Find the slope of the line that passes through:

(7, -1) and (7, -5)

a)

undefined

b)

0

c)

- 14/6

d)

10/-6

22.

Tina earns $25.95 per hour, plus a consulting fee of $50. What is the initial value?

a)

$25.95

b)

$50

c)

No of the above

23.

Identify the rate of change than the function y = 5.6x + 7?

a)

5.6

b)

x

c)

7

d)

y

24.

Identify the initial value the function y = 5.7x + 6?

a)

x

b)

y

c)

5.6

d)

7

25.

A feather falls from a 105-foot cliff at a rate of 15 feet per minute. What is the rate of change?

(a)  

26.

Identify the rate of change from the following function;

d = 1/2t +20

a)

1/2

b)

-1/2

c)

10

d)

-10

27.

Identify the initial value from the following function;

d = 20t - 100

a)

20

b)

-20

c)

100

d)

-100

28.

Identify the rate of change from the following function;

c = 250h + 2000

a)

250

b)

-250

c)

2000

d)

-2000

29.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
30.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for renting 9 movies?
a)
Beth's service is cheaper (Beth charges $42 vs. Nate charges $45)
b)
Nate’s service is cheaper (Nate charges $42 vs. Beth charges $45) 
c)
Nate’s service is cheaper (Nate charges $36 vs. Beth charges $45)
d)
Beth's service is cheaper (Nate charges $45 while she charges $36) 
31.
Which company pays the best pay per shift?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
32.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
33.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
34.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
35.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
36.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
37.
Challenge: If Tony is going to deliver at least 20 pizza's every night, which company should he work for?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
38.
Which company pays the most per pizza?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
39.
a)
The function f(x) has a greater y intercept than the function g(x)
b)
The function g(x) has a greater rate of change than the function f(x)
c)
The function g(x) has a greater y intercept than the function f(x)
d)
The rate of change for both g(x) and f(x) are equal 
40.
a)
The function f(x) has a greater y intercept than the function g(x)
b)
The function g(x) has a greater rate of change than the function f(x)
c)
The function g(x) has a greater y intercept than the function f(x)
d)
The rate of change for both g(x) and f(x) are equal 
41.
a)
The rate of change of f(x) is less than the rate of change of g(x)
b)
The rate of change of f(x) is greater than the rate of change of g(x) 
c)
The y intercept of f(x) is equal to the rate of change of g(x) 
d)
The y intercept of f(x) is greater than the rate of change of g(x)
42.
a)
The y-intercept of the function f(x) is less than the y-intercept of the function g(x) 
b)
The y-intercept of the function f(x) is greater than the y-intercept of the function g(x)
c)
The y-intercept of the function f(x) is equal to the y-intercept of the function g(x)
d)
The y-intercepts cannot be determined 
43.
The equation y = 123x describes the function for the number of toys, y, produced at Toys Plus in, x, minutes of production time.  Another company, #1 Toys, has a similar function, also linear, that assigns the values shown in the table below.  Which company produces toys at a slower rate? 
a)
They produce toys at the same rate
b)
#1 Toys produces toys at a slower rate (123 toys per minute)
c)
Toys Plus produces toys at a slower rate (123 toys per minute)
d)
#1 Toys produces toys at a slower rate (120 toys per minute)
44.

Write an equation for the function shown on the graph.

a)

y = 16 - 0.5x

b)

y = 16 - 2x

c)

y = 16 + 0.5x

d)

y = -0.5x

45.

What is the initial value of the function?

a)

-2

b)

-1/2

c)

0

d)

16

46.

What is the rate of change of this function?

a)

2

b)

-2

c)


−12-\frac{1}{2}

d)

12\frac{1}{2}

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