Representing Linear Situations

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

If I join the gym for a start up fee of $40 and monthly fee of $10,  what is a possible label for the y axis?

• Total Amount Paid

• Total Number of People at the Gym

• Hours

• Months

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = -23x + 14 to model the relationship. What does 14 mean?

• The temperature only adds 14 to the damage index.

• If there is no damage index then the ambient temperature is 14.

• If the damage index is 0, then the ambient temperature would be 0.

• If the ambient temperature is 0 then the damage index would be 14.

If I join the gym for a start up fee of $40 and monthly fee of $10,  what is a possible label for the x axis?

• Total Amount Paid

• Total Number of People at the Gym

• Hours

• Months

The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.

Mathematical Equivalence

ON

A student wrote the 5 different situations that are shown in the answer choices below. Select TWO situations that could be modeled by a linear equation.

• The Barton family is driving at a rate of 62 miles per hour.

• Mr. Dominguez invested $1,000. This money is growing at a rate of 4% per year.

• A tree was 10 feet tall when purchased. It is growing at a rate of 2 feet per year.

• Tim dropped a coin off a bridge. It is falling at a rate of 9.8 meters per second squared.

• The amount of people in a stadium is decreasing at a rate of 45% every 10 minutes.

A graphed system of linear inequalities is shown. Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.

• (-4,1)

• (-3,-4)

• (0,-3)

• (0,1)

• (5,-2)

Which points are part of the solution for this linear inequality? Select TWO that are correct.

• (-15, -5)

• (-20, 0)

• (10, -25)

• (0, -15)

• (15, -20)

Drag and drop the responses into the boxes to create an inequality that represents the graph below.​ ​

​ (a)   ​ (b)   ​ (c)   x​ (d)  

• y
• -2
• +3
• <
• >
• 2
• 1/2
• -1/2