Representing Linear Relationships 7.7A

Which equation best represents the relationship between x and y in the graph?

• $y=-\frac{3}{4}x-3$

• $y=-\frac{4}{3}x-3$

• $y=-\frac{3}{4}x-4$

• $y=-\frac{4}{3}x-4$

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Nicholoas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?

• $y=9.5x+22.5$

• $y=22.5x+9.5$

• $y=9.5x-22.5$

• $y=22.5x-9.5$

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table?

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

A fish is swimming at a constant rate toward the ocean floor. The equation  $y=-7x-3$  can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.  Which statement best describes the depth of the fish, given this equation?

• From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

• From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

• From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

• From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

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CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

The table shows the distance, y, a cheetah can travel in feet in x seconds. Based on the information in the table, which equation can be used to model the relationship between x and y?

• $y=5x$

• $y=x+5$

• $y=x+470$

• $y=94x$

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

A pilot takes a taxi from the airport to a hotel. The taxi driver chargers $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?

• $y=2.50x+2.65$

• $y=2.65\left(x+2.50\right)$

• $y=2.65x-2.50$

• $y=2.65x+2.50$

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Which equation best represents the relationship between x and y in the graph?

• $y=3x+3$

• $y=3x-1$

• $y=\frac{1}{3}x+3$

• $y=\frac{1}{3}x-1$

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

• $y=12x+55$

• $y=12x+165$

• $y=55x+12$

• = $y=165x+12$

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Which table contains only values that satisfy the equation  $y=0.5x+14?$  

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CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation represents the relationship between the x-values and the y-values in the table?

• $y=2x+12$

• $y=4x+6$

• $y=2x+4$

• $y=6x+4$

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2