Modeling Linear Equations CYU

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.A.1

CCSS.8.F.B.4

CCSS.8.SP.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.8.F.B.4

CCSS.8.SP.A.3

Wendy’s is currently hiring workers at $14 an hour. To increase the number of applicants, they are offering a $500 initial hiring bonus. Let x be the number of hours worked, and y be the total amount of money made. Write an equation that models this situation.

How much will you have made after working 30 hours?

Tags

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

1.     Wendy’s is currently hiring workers at $14 an hour. To increase the number of applicants, they are offering a $500 initial hiring bonus. Let x be the number of hours worked in the first week, and y be the total amount of money made. Write an equation that models this situation.

A Wendy’s employee has made a total of $1000. How many hours did they work? (round to the nearest tenth)

Tags

CCSS.8.EE.B.5

CCSS.8.EE.C.7

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4

You are tasked with tracking the height of a plant. On the second day, your plant was 3.2 cm tall. On the fifth day, your plant was 4.7 cm tall.

a. How tall was the plant on the first day?

Tags

CCSS.8.EE.B.6

CCSS.8.EE.C.7

CCSS.8.F.B.4

You are tasked with tracking the height of a plant. On the second day, your plant was 3.2 cm tall. On the fifth day, your plant was 4.7 cm tall.

b. How tall will the plant be on the eighth day?

Tags

CCSS.8.EE.B.6

CCSS.8.EE.C.7

CCSS.8.F.A.1

CCSS.8.F.B.4

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

Cuál de las siguientes situaciones podría ser descried por la ecuación y=-25x + 120?

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

  Hay 120 personas en el estadio de fútbol, y 25 más están entrando cada hora.

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

  Un fontanero cobra $25 por una llamada a la casa y $120 por hora.

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

  Un profesor tiene 120 estudiantes. Su tercer período tiene 25 estudiantes

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

  Hay 120 galones de agua en un tanque. Libera agua a una velocidad de 25 galones por minuto.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

Tags

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.1

CCSS.8.SP.A.2

CCSS.8.SP.A.3

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A
• B
• C
• D

Tags

CCSS.8.SP.A.1

CCSS.8.SP.A.2

• 440 turtles
• 40 turtles
• 150 turtles
• 90 turtles

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.1

CCSS.8.SP.A.2

CCSS.8.SP.A.3