Compare Rates of Change and Y-Intercepts

Aunt Maggie’s car broke down on Interstate10. Sam’s Towing charges a $57 hook up fee and $2 per mile towed. Regina’s Towing charges a $45 hook up fee and $2.50 per mile towed. Which of the following is NOT true?

• Both situations can be modeled using linear functions.

• The rate of change of the function that models Regina’s towing charge is 2.5

• The intercept of the functions that model both situations represents the hook up fee.

• The rate of change of the functions that model both situations represent the miles traveled per hour.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which of the following is the graph of Maggie and Regina's towing situation.

y = 2x + 57

y = 2.5x + 45

• 
• 

Tags

CCSS.8.EE.C.8C

What is the formula for slope-intercept form?

• ax + by = c

• y=mx+b

• y=b+mx

• by+ax=c

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

1. Consider the following equations.

Equation A: 4x - 2y = -6

Equation B: 3x + y = 3

Which of the following statements is true?

• The slopes of both lines are the same and the y-intercepts are different.

• The slopes of both lines are different and the y-intercepts are the same.

• The slopes and the y-intercepts of both lines are the same.

• The slopes and the y-intercepts of both lines are different.

Tags

CCSS.8.EE.C.8B

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

What is the slope of the line?

• 1500

• 100

• 1500x

• 100x

Tags

CCSS.8.EE.B.5

Appleseed, a tech company, spends a fixed cost of $1500 to manufacture the wristbands for their new Appleseed Watch, plus $100 per unit manufactured.

What is the y-intercept?

• 1500

• 100

• 1500x

• 100x

Tags

CCSS.8.EE.B.5

1. You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Write an equation (in slope-intercept form) that represents this situation.

• y = 300x + 50

• y = 300 + 50x

• y = 50x + 300

• y = 50 + 300x

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

What is the slope of the line?

• 300

• 50

• 300x

• 50x

Tags

CCSS.8.EE.B.5

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

What is the y-intercept of the line?

• 300

• 50

• 300x

• 50x

Tags

CCSS.HSF.LE.B.5

y = -2x - 4

Identify the slope and y-intercept.

• slope = 2

  y - intercept = 4

• slope = -2

  y-intercept = 4

• slope = 2

  y-intercept= -4

• slope = -2

  y-intercept = -4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3