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1
Lillian lives 10 km from Anna. She starts walking toward Anna’s house at a speed of 2 km/h. At the same time, Anna starts walking toward Lillian’s house at a speed of 3 km/h. Use a graph to determine how long it will take until they meet, to the nearest tenth of an hour.
A)1.9 h
B)2.0 h
C)2.1 h
D)10 h
2
Use a graph to determine the point of intersection of the lines x + y = –2 and 2xy = 5.
A)(1, –3)
B)(2.2, –0.2)
C)(–2.2, 0.2)
D)(3, 1)
3
Auguste rents a booth at the county fair for $144. He plans to sell hot dogs at $3 each during the fair. The cost of producing each hot dog is $1.80. Let n represent the total number of hot dogs sold. Use algebra to model the cost of selling n hot dogs and the revenue expected.

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A)Cost: 144 + 1.8n Revenue: 3n
B)Cost: 1.8n Revenue: 3n
C)Cost: 144 + 3n Revenue: 1.8n
D)Cost: 3n Revenue: 1.8n
4
If Anne sells t T-shirts at a county fair, she will have a cost of 135 + 2.5t, and can expect a revenue of 7.5t. Use a graph to determine the value of t required for Anne to break even, to the nearest T-shirt.
A)14
B)18
C)27
D)675
5
Bella can rent a plane from Ace Aviation for $150/h. Or, she can join the City Flying Club for $200 per year, and rent a similar plane for $140/h. Let t represent the number of hours she rents per year. Model the cost, C, in dollars, of renting a plane for t hours from each place.

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A)Ace Aviation: C = 150t City Flying Club: C = 140t
B)Ace Aviation: C = 150t City Flying Club: C = 200 + 140t
C)Ace Aviation: C = 140t City Flying Club: C = 200 + 150t
D)Ace Aviation: C = 140t City Flying Club: C = 150t
6
The yearly cost, in dollars, of playing golf at the Country Club is 1000 + 5t, where t is the number of hours played. The cost, in dollars, of playing golf at the public course is 25t, where t is the number of hours played. Use a graph to determine the value of t, to the nearest hour, for which the total yearly cost will be the same at both courses.
A)40 h
B)50 h
C)33 h
D)20 h
7
The National Motor Company has an inventory of 240 cars, and each day 12 more roll off the assembly line. The Acme Motor Company has an inventory of 72 cars, and each hour one more rolls off the assembly line. Both assembly lines are open 24 h per day. Model the total inventory of each company after t days.

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A)National: I = 12t Acme: I = 24t
B)National: I = 240 + 12t Acme: I = 72 + t
C)National: I = 240 + 24t Acme: I = 72 + 12t
D)National: I = 240 + 12t Acme: I = 72 + 24t
8
The mass, M, in tonnes (t), of recycling materials at the Mathville depot can be represented by the equation M = 325 + 3t, where t is the time, in days, while the mass at the Trigtown depot can be represented by the equation M = 450 + 2.5t. Use a graph to determine when the mass of recycling materials at the two depots will be the same, to the nearest day.
A)After 125 days
B)After 250 days
C)After 75 days
D)The mass of recycling materials will never be the same.
9
Consider the linear system <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070002479/775989/Ch8_image004.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> and 2x + 5y – 10 = 0.
Without graphing, determine which statement is true.

A)There is exactly one solution for the system.
B)There are no solutions for the system.
C)There is an infinite number of solutions for the system.
D)The number of solutions cannot be determined from the information given.
10
Consider the linear system <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0070002479/775989/Ch8_image005.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> and 3x – 2y – 2 = 0. Without graphing, determine which statement is true.
A)There is exactly one solution for the system.
B)There are no solutions for the system. The lines have the same slope, and are parallel.
C)There is an infinite number of solutions for the system.
D)There are no solutions for the system. The lines are perpendicular.
11
Consider the linear system 15x – 6y = 30 and 5x – 2y = 10. Without graphing, determine which statement is true.
A)There is exactly one solution for the system.
B)There are no solutions for the system. The lines have the same slope, and are parallel.
C)There is an infinite number of solutions for the system.
D)There are no solutions for the system. The lines are perpendicular.







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