Modeling Linear Equations

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

• c = 2.75b + 4
• c = 2.75b
• c =  4b- 2.75
• c = 2.75b - 4

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

d=125 + 80n models the amount of money (d) in the register after selling n tickets. How much money does she have in the register before selling any tickets? 

• $125
• $80
• $205
• $45

Tags

CCSS.HSF.LE.B.5

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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.HSF.LE.A.2

CCSS.8.F.B.4

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

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

The descent of an airplane can be modeled by the equation $y\ =30000-2000m$  where m is the time in minutes for the plane to land. The distance is measured in feet. Explain what each term in the expression means.

Tags

CCSS.HSF.LE.B.5

Part A

A taxi cab charges a fixed amount of $1.50 plus $.75 cents per mile traveled. Write an equation to model charge for distance traveled.

Part B

If Jasmine has $20 dollars with her, what is the maximum number of miles m she can ride in the cab.

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4