Construct Linear Functions from Word Problems

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

Tags

CCSS.6.EE.C.9

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.6.EE.C.9

Shawn has $3 more than twice as much money as Peter.  If Shawn has $10, how much money does Peter have?

• $17.00
• $6.75
• $3.50
• $23.00

Tags

CCSS.7.EE.B.4A

Laura is 3 years older than twice Joseph's age. If Laura is L, and Joseph is J, which equation represents the situation?

• L = 3 + 2J

• 3+L = 2J

• 3 = L + 2J

• None of the above

Tags

CCSS.6.EE.C.9

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5
• y = -5 + 48x
• y = -5x - 48
• y = 48 - 5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x
• y = 90x + 50
• y = -50x + 90
• y = -90 - 50x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service.  Which equation below can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m
• c = 8m + 0.12m
• c = 0.12m + 8
• c = 0.20m

Tags

CCSS.6.EE.C.9

A candlestick is 8 inches tall and burns at a rate of .2 inches per hour. Which equation represents the situation?

• y = 8 - .2x

• y = .2x + 8

• y = .2x - 8

• y = 8x - .2

Tags

CCSS.6.EE.C.9

A candlestick burns at a rate of .2 inches per hour.  After 8 hours the candlestick is 13.4 inches tall. 
_{What is the slope?}

• 0.2
• - 0.2
• 13.4
• -13.4