Linear Relationships (y=mx+b) SBC

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

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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

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

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The table shows the distance, y, that 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

A pilot takes a taxi from the airport to a hotel. The taxi drivers charges a $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 = 2.65x - 2.50

• y = 2.65x + 2.50

• y = 2.65(x + 2.50)

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?

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A fish is swimming at a constant rate towards 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

Which equation best represents x and y in the graph?

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Nicholas 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 = 9.50x + 22.50

• y = 22.50x + 9.50

• y = 9.50x - 22.50

• y = 22.50x - 9.50

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection.

Which equation can be used to find y, the total number of coins in George's collection after x months?

• y = 75x + 20

• y = 20x + 75

• y = 75x -20

• y=20x - 75