Modeling Situations Using Linear Relationships

A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson. Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).

• y = 200x + 12

• x = 200 + 12y

• y = 12x + 200

• y = 212x

Tags

CCSS.HSF-BF.A.1A

The 7 inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

• y = 2x + 7

• y = 2 - 7x

• y = 7 - 2x

• y = 7x + 2

Tags

CCSS.HSF-BF.A.1A

What does the y-intercept represent in an equation?

• slope

• rate of chance

• initial value

• x - intercept

Tags

CCSS.HSF.LE.B.5

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

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

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

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Tags

CCSS.6.EE.C.9

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.8.F.B.4

CCSS.HSF.LE.A.2