Meaning of Slope

The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?

• The tank started with 50 L of gasoline

• the amount of gasoline consumed per km driven

• the distance it takes to lose a Liter of gas

• the gasoline is leaking because the slope is negative.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

• 64

• 128

• 32

• 16

What is the rate of change of the cost of the dance lessons with respect to the number of lessons taken?

• Each dance lesson costs $10.00.

• The maximum amount a person will pay for dance lessons is $115.00

• The maximum number of dance lessons a person can take is 9.

• The registration fee to begin dance lessons is $12.00

The graph shows the cost of renting a moving truck, y, depending on the number of miles, x, the truck is driven. What is the rate of change of the cost with respect to the number of miles driven?

• The daily fee of renting the truck is $40.00.

• The cost per mile to rent a truck is $0.50.

• The maximum amount of miles the truck can be driven is 24.5.

• The cost of renting a truck cannot exceed $53.00.

What does the slope of 3/2 mean for this situation?

• For every 3 books sold, there is a $2 profit. 

• Your cost per book is $1

• For every 2 books sold, there is a $3 profit. 

• Your cost per book is $5

The graph shows the number of newspapers delivered and total pay for Leona’ newspaper delivery job.

What does the slope of this graph represent?

• The cost per newspaper

• The total cost of 20 newspapers

• The number of miles Leona travels

• The cost per mile

The graph represents the height of a burning candle. What is the meaning of the slope?

• The ending height of the candle

• the rate at which the candle is losing height each hour

• the original height of the candle

This function shows the cost of a hamburger with different numbers of toppings (t). y= 1.40t + 1.90 What is the slope, and what does it mean?

• 1.40; the cost for 1 topping

• 1.40; the number of toppings

• 1.90; the total cost of the hamburger

• 1.90; the starting cost of the hamburger

The value, v, of an antique car after t years is represented by the equation below.

v = 2,000t + $12,000

What does the slope in the equation represent?

• The car decreases in value $2,000 per year.

• The car increases in value $2,000 per year.

• The car's original value is $2,000.

• The car increases in value $1 per 2,000 years.

The equation below represents the number of people, y, in line at a movie theater each hour x from 9 p.m. - 11 p.m. y = -20x + 45 What does the slope in the equation represent?

• The number of people in line decreased by forty-five people per hour.

• The number of people in line increased by forty-five people per hour.

• The number of people in line increased by twenty people per hour.

• The number of people in line decreased by twenty people per hour.