Comparing Linear Functions

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50
• y = 1.50x + 4

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSS.ID.C.7

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Find an equation in slope intercept form.  Then, use your equation to find the altitude of the plane after 5 minutes.

• 20,000 feet after 5 minutes
• 40,000 feet after 5 minutes
• 148,000 feet after 5 minutes

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. 

• y = 30x + 20
• y = 30 + 20x
• y = 50x
• y = 60x

Tags

CCSS.6.EE.C.9

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation. After how many classes will the total cost for the club membership be $200?

• 20 classes

• 15 classes

• 10 classes

• 200 classes

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour
• $5 per hour
• $1 for 6 hours
• $1 for 5 hours

Tags

CCSS.HSF.IF.B.4

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

• $15 per hour
• $2.25 per hour
• $17.25 per hour
• $1 per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company charges more per rental?

• Water's Edge Rafts

• Ryan's Rafts

Tags

CCSS.8.EE.B.5

Bob has $150 in his savings account and saves $40 per month.

• y = 150 + 40
• y = 40x + 150
• y = 150x + 40

Tags

CCSS.6.EE.C.9