Slopes of Tables and Graphs

The table shows the number of gallons of gasoline in a car's gas tank after the car has been driven x miles.

When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line?

• Slope = 1/25, y-intercept = 375

• Slope = -1/25, y-intercept = 15

• Slope = 25, y-intercept = 375

• Slope = -25, y-intercept = 15

Julie sells birthday cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit.

Which of these best describes the profit Julie makes from selling these cards?

• $7.50 per box

• $10.00 per box

• $4.00 per 30 boxes

• $3.00 per 4 boxes

What are the slope and the y-intercept of the graph of the linear function shown on the grid?

• Slope = 4, y-intercept = -6

• Slope = -4, y-intercept = -1.5

• Slope = -1/4, y-intercept = -1.5

• Slope = 1/4, y-intercept = -6

The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function?

• -2

• -4

• -5

• 6

Which function is best represented by this graph?

• y = 1/4x + 8

• y = 1/4x - 2

• y = 4x - 2

• y = 4x + 8

The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M.

Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?

• y = 3,000x + 12,000

• y = 3,000x + 15,000

• y = -3,000x + 12,000

• y = -3,000x + 15,000

The graph shows the relationship between the cost of some pecans and the weight of the pecans in pounds. Which function best represents the relationship shown in the graph?

• y = 5x

• y = 1/5x

• y = 2x

• y = 1/2x

Jerry is saving $25 that he earned for washing his mom's car. He earns $10 every week for doing chores, which he also saves.

Which function can be used to find t, the amount of money Jerry will have saved at the end of n weeks of doing chores?

• t = 10n + 25

• t = 25n + 10

• t = 35n

• t = 15n

Which function is best represented by this graph?

• y = 1/2x + 6

• y = -2x + 3

• y = 2x + 6

• y = -1/2x + 3

Which equation can be used to describe the relationship between x and y shown in the graph below?

• y = 3x + 2

• y = -3x - 6

• y = 3x - 6

• y = -3x + 2