Functions and Rate of Change

• 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

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.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.
• It costs $0.20 per minute to rent the kayak.
• You have to pay $0.20 up front before using the kayak at all.
• Every .2 minutes, you have to pay $1.00.

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes
• The sloth runs 3 feet in 1 minute
• The sloth runs fast
• The sloth runs 6 feet in 1 minute

Which statement matches the graph?

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

• Mrs. Franklin's total bill will cost $6.85 if she brings one grandchild. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200
• 150
• 300
• 75

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the slope and what does it represent?

• The slope is $850/car and it represents the commission per car sold.
• The slope is $425/car and it represents the commission per car sold.
• The slope is $1500 and it represents the monthly salary before commission.
• The slope is $850 and it represents the monthly salary before commission.

The graph shows the weight of a bucket as it is filled with sand. What is the weight of the empty bucket?

• 0 pounds

• 1 pound

• 2 pounds

• 6 pounds

What is the meaning of the slope?

• You will receive $1 per 4 papers delivered.

• You will receive $5 per paper delivered

• You will receive $4 per paper delivered

• You will receive $20 per day