Linear Functions

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.8.F.B.4

CCSS.HSF.LE.A.2

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

A golf course charges $15 to rent golf clubs and charges $25 per round to play.  Write an equation to represent the total cost, T, for one player.

• T = 15 + 25r
• T = 15g + 25r
• T = 40 r
• T = 15r + 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

A man is climbing down from 100 feet high descending 30 feet per minute. Which function models his descent?

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.LE.A.1

Morgan has $263.49 in her bank account.  She babysits two days each week.  Each time she babysits she earns $36.  She deposits all the money she earns into her bank account at the end of the week.  Which linear equation below best models the relationship between the total amount of money in Morgan's bank account(T) and the number of weeks(w) that have passed?

• T = 72w + 263.49
• T = 36w + 263.49
• T = 263.49w + 36
• w = 72T + 263.49

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75
• y = 6.50x + 0.75
• y = 6.50x - 1.50 - 0.75
• y = 5x - 0.75

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7