Comparing Graphs of Linear Functions

Which equation has a greater y-intercept?

• Equation A

• Equation B

• They have the same slope

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same level of steepness

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same steepness, even though one is negative and one is positive

• This cannot be determined

Which equation has the larger y-intercept?

• Equation A

• Equation B

• They have the same y-intercept

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

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 of the graph of this equation represent?

• The monthly fee

• How much Rich pays per visit

• The number of times Rich goes to the gym

• The total cost at the end of the month

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=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

Who has the greater rate of change?

• Tyler

• Aubri

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Function A is represented by the table.

Function B is represented by the equation y = 3x - 4.

Which function has the greatest rate of change (slope)?

• Function A.

• Function B.

• Neither. They have the same slope.

• There is not enough information to answer this question.

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.