7.7A - STAAR REVIEW-Linear Relationships

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

• $y\ =\ -\frac{3}{4}x\ -\ 3$

• $y\ =\ -\frac{4}{3}x\ -\ 3$

• $y\ =\ -\frac{3}{4}x\ -\ 4$

• $y\ =\ -\frac{4}{3}x\ -\ 4$

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?

• $y\ =\ 9.5x\ +\ 22.5$

• $y\ =\ 22.5x\ +\ 9.5$

• $y\ =\ 9.5x\ -\ 22.5$

• $y\ =\ 22.5x\ -\ 9.5$

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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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.

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?

• $y\ =5x$

• $y\ =\ x\ +\ 5$

• $y\ =\ x\ +\ 470$

• $y\ =\ 94x$

A pilot take a taxi from the airport to a hotel. The taxi driver 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?

• $y\ =\ 2.50x\ +\ 2.65$

• $y\ =\ 2.65\left(x\ +\ 2.50\right)$

• $y\ =\ 2.65x\ -\ 2.50$

• $y\ =\ 2.65x\ +\ 2.50$

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

• $y\ =\ 3x\ +\ 3$

• $y\ =\ 3x\ -\ 1$

• $y\ =\ \frac{1}{3}x\ +\ 3$

• $y\ =\ \frac{1}{3}x\ -\ 1$

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 values that satisfy the equation  $y\ =\ 0.5x\ +\ 14$  ?

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

• $y\ =\ 2x\ +\ 12$

• $y\ =\ 4x\ +\ 6$

• $y\ =\ 2x\ +\ 4$

• $y\ =\ 6x\ +\ 4$