WorksheetsComparing Linear Functions
Total questions: 22
Worksheet time: 2hrs 44mins
Name
Class
Date
1.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
2.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
3.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
4.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
5.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
6.
Which panda is growing faster?
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.
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
9.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
10.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
11.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
12.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
13.
Who has the greater rate of change?
a)
Smith has the greater rate of change with 5/4
b)
Harmon has the greater rate of change with 7/2
c)
Smith has the greater rate of change with 4/5
d)
They have the same rate of change.
14.
Who has the greater rate of change?
a)
Smith has the greater rate of change.
b)
Harmon has the greater rate of change.
c)
Macey has the greater rate of change.
d)
They have the same rate of change
15.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
16.
find the rate of change
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
17.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
18.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
19.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
20.
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 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
21.
Equation A: y = 2x + 3
Equation B: y = 3x - 3
Which equation has a higher slope?
Equation B: y = 3x - 3
Which equation has a higher slope?
a)
Equation A
b)
Equation B
c)
They have the same slope
22.
Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y intercept?
Equation B: y = 1/2x + 1
Which equation has a higher y intercept?
a)
Equation A
b)
Equation B
c)
They have the same Y intercept
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