Properties of Linear Functions from Verbal Descriptions

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

Tags

CCSS.HSA-SSE.A.1A

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Tags

CCSS.6.EE.C.9

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S
• S = 90d + 3h
• S = 3d + 90h
• S = 3h + 9.0d

Tags

CCSS.6.EE.C.9

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + 0.20x
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Tags

CCSS.HSF-BF.A.1A

Luxury Limousine charges a fee of $50 per hour to rent a limousine plus $0.15 per mile driven. Which equation can be used to determine c, the total cost to rent a limousine for 3 hours, if m represents the number of miles the limousine is driven.

• $c=50+0.15m$

• $c=50+45m$

• $c=150+0.45m$

• $c=150+0.15m$

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. Which number represents the rate of change/ slope?

• 30

• 5

• 6

• $\frac{1}{6}$

Ryan's Auto Wash earns revenues of $9 per customer. Write an equation that shows the relationship between the number of customers x and the revenue y.

• $y=9x$

• $x=9y$

• $y=x^9$

• $y=x+9$

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which value represents the rate of change/ slope?

• 40

• 20

• 340

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200
• 150
• 300
• 75

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?

• 10 feet per second
• 5 feet per second
• 2 feet per second
• 6 feet per second