Analyzing Linear Functions

A school wants to rent a cotton candy machine for a fundraiser. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115, Assume the relationship is linear. What is the rate of change. How much is the deposit?

• ROC: $8/1 hr; Deposit Fee: $115

• ROC 8 hours/$1 Deposit Fee: $5

• ROC $8/1 hr Deposit Fee: $75

• ROC $5/1 hr; Deposit Fee: $75

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

• The art club had $45 to begin with.

• The art club makes $45 per member.

• The art club has $300 to start with.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Find and interpret the initial value.

• There were 4 movie trailers.

• The theater had 7 people to start with

• The theater had 54 people to start with.

• The theater had 75 people to start with.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

The population of DeSoto rose an average of 142 people per year. After 5 years, the population was 5,428 people. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

• ROC: The population DECREASED by 142 people per year.

  Initial value: There were 5,248 people in the town to start with.

• ROC: The population INCREASED by 142 people per year.

  Initial value: There were 4,718 people in the town to start with.

• ROC: The population INCREASED by 142 people per year.

  Initial value: There were 5, 428 people in the town to start with.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

Which equation best represents the relationship between x and y in the table shown?

• y= 5x+5
• y=1/5x+5
• y=15x+5
• y=10x+5

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.2

CCSS.8.F.A.3

CCSS.8.F.B.4

Jenny writes the equation y = 1/2x +5.
Why is she incorrect?

• The slope is -2, the equation should be
  y = -2x + 5
• The y-intercept is 4, the equation should be y = -2x + 4
• The slope is -1/2, the equation should be
   y = -1/2x + 5
• The y-intercept is -5, the equation should be y = -2x - 5

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Find the slope of the line.

• 1/4
• -1/4
• -4
• 4

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.SP.A.3

find the slope

• 3/2
• -3/2
• (-0,-3)
• none of the above

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the equation for this graph?

• y = ⅔ x + 3

• y = -⅔ x + 3

• y = ⅔ x - 3

• y = -⅔ x - 3

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.2

CCSS.8.F.A.3

CCSS.8.F.B.4

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.8.F.B.4

CCSS.8.SP.A.3