Proportional Linear Relationships

What is the equation of the function represented by the graph?

• y=1/4x-2

• y=-1/4x-2

• y=1/4x+2

• y=4x+8

Answer explanation

We can see that the y-intercept (b) is -2 and the slope of the graph (m) is 1/4. When we substitute these values into the equation y=mx+b we get y=1/4x-2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the equation of the line in the graph ?

• y=-1/2x+5

• y=1/2x+5

• y=1/2x-5

• y=-1/2x+10

Answer explanation

We can see that the y-intercept is 5 and that the slope is negative. Using the slope formula (y2-y1)/(x2-x1) we can substitute in the values (2-4)/(6-2). This simplifies to -2/4, which reduces to -1/2.

The cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. What is the slope of this situation?

• $0

• $20

• $12

Tags

CCSS.8.EE.B.5

A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. What is the equation in slope-intercept form that tells the height of the balloon above the ground after a given number of seconds.

• y=50x-4

• y=4x-50

• y=4x+50

• y=50x+4

Which represents a linear relationship?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Tags

CCSS.8.F.A.3

James is going bowling.  It will cost him $1.75 per game plus $2.50 to rent the shoes.  What is the equation used to calculate the cost of going bowling?

• y=1.75x+2.50

• y=2.50x+1.75

• y=1.75x-2.50

• y=-1.75+2.50x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The cost to rent a storage unit is $30 per month plus a one-time application fee of $20. Which table best represents this situation?

• A

• B

• C

• D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

From question #1, Carlos had $40 saved in 2 weeks, and $60 after 3 weeks. So, what is the unit rate or constant of proportionality for Carlos' savings? Type the number that goes in the blank.

Carlos is saving $____ per week.

Tags

CCSS.7.RP.A.2B

Carlos is saving money to spend for one week. After two weeks, he had $40 saved and $60 after 3 weeks. Complete the table with the correct amounts.

• 0, 1, 2, 3, 4

• 0, 20, 40, 60, 100

• 0, 40, 60, 80, 100

• 0, 10, 20, 30, 40

Tags

CCSS.5.OA.B.3

The graph represents the result of a race between 4 turtles. Which turtle was the fastest?

• Blue

• Purple

• Orange

• Red

Tags

CCSS.8.EE.B.5