Linear Equations in Real Life Situations

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?

• y=25x

• y=20x+5

• y=5x+20

• y=5x

Tags

CCSS.6.EE.C.9

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  

Write a linear equation to model the total cost of hiring Paul the plumber.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following equations represents the following situation: "I am six years old than my sister. Our ages add to 44." Let s represent my sister's age

Tags

CCSS.HSA.CED.A.1

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.6.EE.C.9

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

How can linear equations be used to model real-life situations?

• Linear equations are too simplistic to accurately model the complexities of real-life situations.

• Linear equations can only be used for theoretical calculations and not for real-life situations.

• Linear equations are only applicable to abstract mathematical problems and not to real-life scenarios.

• Linear equations can be used to model real-life situations by representing relationships between two variables that have a constant rate of change.

Tags

CCSS.8.EE.C.7B

A phone company charges a monthly fee of $30 and $0.10 per minute for calls. Write a linear equation to represent the total cost (y) in terms of the number of minutes (x) used.

• y = 30x + 0.10

• y = 30 + 0.10x

• y = 0.10x - 30

• y = 30 - 0.10x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2