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Comparing ROC and Initial Value

Total questions: 18

Worksheet time: 56mins

Name
Class
Date
1.
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) 
2.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
3.
Which company pays the best pay per shift?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
4.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
5.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
6.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
7.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
8.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
9.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
10.
Which company pays the most per pizza?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
11.
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 
12.
Compare the rates of change. Which statement is true about functions A and B?
a)
They have the same rate of change
b)
A has a greater rate of change than B
c)
A and B both have negative rates of change
d)
A has a negative ROC and B has a positive ROC
13.
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 
14.
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 
15.
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)
16.
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 
17.
The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month? 
a)
Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.
b)
Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.
c)
Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.
d)
Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.
18.
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)