Compare Functions Slope-Intercept Form

Who has a greater rate of change? (slope)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

Tags

CCSS.HSF.LE.B.5

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.

y = 1/2x + 10

What does the slope (m) of the graph of this equation represent?

Tags

CCSS.HSF.LE.B.5

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a higher y-intercept?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has the greater rate of change?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Alan has been saving for a new video game. He currently has some money saved in his savings account. Each week, he earns additional money mowing his neighbor’s lawn. Use the equation, y = 20x + 85, to explain the meaning of the slope and y-intercept in context.

• The slope (20) represents the amount of money Alan spends each week on video games, and the y-intercept (85) represents the cost of the video game.

• The slope (20) represents the number of video games Alan can buy each week, and the y-intercept (85) represents the total number of video games he wants to buy.

• The slope (20) represents the number of weeks Alan has been saving, and the y-intercept (85) represents the total amount of money he has earned.

• The slope (20) represents the amount of money Alan earns each week mowing the lawn, and the y-intercept (85) represents the initial amount of money he already has saved.

Create an equation for the given graph.

• y = 5x + 100

• y = 100x + 5

• y = 5x - 100

• y = 100x - 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the slope and y-intercept of the linear function given by the equation 4x - 3y = 6?

• The slope is 4/3 and the y-intercept is -2

• The slope is 4 and the y-intercept is 2

• The slope is -4/3 and the y-intercept is -2

• The slope is 4 and the y-intercept is -2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Compare the y-intercepts of the two functions.

• The y-intercept of Function A is 1 unit greater than the y-intercept of Function B.

• The y-intercept of Function A is 1 unit less than the y-intercept of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9