Graphs with Stories and Graphing Systems of Equations

Which graph shows a function that decreases, increases, and then remains constant?

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A system of linear equations has been graphed. Which coordinate point represents the solution?

• (0,4)

• (4,0)

• (0,-4)

• (4,-4)

The graph below represents a Height (y) vs. Time (x) of an object. Which statement represents the graph?

• A plane takes off, flies at a certain altitude, then lands.

• A plane taxis on the run way, lifts off, ascends to a certain altitude, and flies for a while.

• A plane takes off, ascends to an altitude and flies for a while, then ascends to another altitude, and flies for a while

• A plane taxis on the run way, lifts off, ascending to a certain altitude, flies for a while, ascends to a higher altitude, and flies at the new altitude

Tags

CCSS.HSF.IF.B.4

The Ace Tennis Club charges annual dues of $200, plus $7 per hour to use a court. The Love Tennis Club charges annual dues of $300, plus $5 per hour to use a court. What will the price be when both clubs charge the same amount for the same number of hours?

• 5

• 20

• 25

• 50

Jennifer rode her bike on a trail near her house. The graph below displays the distance from her house as she biked. Which statement is true?

• Jennifer biked up a steep hill in section 1.

• Jennifer biked back to her house in section 3

• Jennifer biked at a constant rate in section 2.

• Jennifer biked at the same rate to and from her home

Tags

CCSS.HSF.IF.B.4

Which graph shows a system of equations that has a solution of (4, 1)?

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Which scenario BEST describes the graph shown?

• An airplane is parked at a maintenance facility

• A person on a bicycle rides at a constant speed

• A train gradually gains speed when leaving a station

• A truck gradually slow down and stops for the night.

Tags

CCSS.HSF.IF.B.4

Based on the equations for each line, determine how many solutions the system would have.

y=2-3x

y=-3x+2

• Infinite Solutions (All Real Numbers)

• No Solution

• One Solution

James and his brother Malcolm raced home on their bicycles. James gave Malcolm a head start of 20 feet. James rode at a rate of 20 feet per second while Malcolm rode at a rate of 15 feet per second. Which graph BEST represents this situation?

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Tags

CCSS.8.EE.B.5

Line K is represented by the equation y = 2x + 2. Line T goes through the points (–3, 3) and (6, 12). What is the point of intersection for lines K and T?

• (1,4)

• (2,6)

• (3,8)

• (4,10)