Interpreting Slope and Intercepts

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

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

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.

Tags

CCSS.HSS.ID.C.7

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.

Tags

CCSS.HSS.ID.C.7

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?

• The total amount of money the customer spends on music each month
• The number of songs the customer downloads each month
• The number of customers that use the music service
• The cost of downloading one song 

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.

Tags

CCSS.HSS.ID.C.7

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.

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle
• the rate at which the candle is losing height
• the change in the height of the candle each hour
• the original height of the candle

Tags

CCSS.HSS.ID.C.7

What line has the steepest slope?

• All slopes are equal
• Red
• Blue
• Green

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSS.ID.C.7

Which runner was faster?

• Runner A
• Runner B

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7