Interpreting Functions and Parallel Slopes

The height of water in a bucket can be tracked with the equation \(y=2x+5\) where \(y\) is the height of the water in cm and \(x \)is the number of seconds that have gone by. What does the point (4, 13) represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

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

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

• The y-intercept is $850/car and it represents the commission per car sold.

• The y-intercept is $1500/car and it represents the commission per car sold.

• The y-intercept is $1500 and it represents the monthly salary before commission.

• The y-intercept is $2775 and it represents the monthly salary before commission.

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 y-intercept?

• It costs $3.50 per minute to rent a kayak.

• For $0 you can rent a kayak for 3.5 minutes.

• Every 3.50 minutes, you have to pay $1.00.

• You have to pay $3.50 up front before using the kayak.

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 line has the steepest slope?

• All slopes are equal

• Red

• Blue

• Green

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

What does the y-intercept represent?

• The amount of each deposit made

• The initial amount of money in the savings account

• The number of deposits made

• The amount of money in the savings account after 50 deposits

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping