Analyzing Graphs of Linear Equations in Real Life Situation

This graph shows the change of depth, d, of water against time, t, as a container is filled at a constant rate.

Which of these is the container?

• 
• 
• 
• 

Tom cycles to his Grandmother’s house, which is 12km from his home. He stays there for 45 minutes. The distance-time graph shows his journey. Work out the fastest speed that Tom cycles at on his way to his grandmother’s house.

• 16 km/h

• 8 km/h

• 4 km/h

• 12 km/h

Tags

CCSS.HSF.IF.B.4

What is represented by the gradient of the line?

• Distance

• Speed

• Time

• Change in time

Tags

CCSS.HSF.IF.B.4

Write down, in words, the units represented by the gradient of the line.

• Metres per minute

• m/m

• Miles per hour

• Metres

Tags

CCSS.HSF.IF.B.4

The graph shows the costs of lotion C, represented by line C, and lotion D, represented by line D. Decide of the following statements are true or false.

Groups:

(a) TRUE

,

(b) FALSE

• Lotion D costs more than Lotion C

• Lotion C cost more than Lotion D

• The cost of lotion D is $2.00 per ounce.

• The cost of lotion C is $0.50 per ounce.

Tags

CCSS.8.EE.B.5

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8C

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

• y = 45x

• y = 35x + 45

• y = 65x + 45

• y = 20x + 45

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Identify the nature of solution from the graph given.

• Consistent and unique solution

• Inconsistent : No solution

Tags

CCSS.8.EE.C.8A

Choose the correct equation for the given graph.

• y = x + 2

• y = 4 + x

• y = x - 2

• y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

When is the graph decreasing?

• 40 - 60

• 0-10

• 10-40

Tags

CCSS.HSF.IF.B.4