Interpreting Slopes 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

The cost of staying at a hotel can be found using the function y=129x+9.95, where x is the number of days a guest stays at the hotel and y is the cost in dollars. The cost includes a flat fee for Internet access. What does the slope represent?

• The charge for internet.

• The cost per day to stay at the hotel.

• The total cost to stay at the hotel.

• The number of days a guest is staying at the hotel.

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 

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.

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

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 y represent?

• 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

Dona plays a game with her brother.  The both start with 75 points.  For each round that they win, they receive 30 points.  The equation that models each person's score is
y = 30 x + 75, where x is the number of games a person wins.  What is the meaning of the slope?

• the number of games won
• the amount of points that a player begins with
• the change in points for each game a person wins
• the number of points needed to win the game

Johnny has to pay $15 for a large pizza and 1.50 for each topping.  What is the meaning of the y-intercept?

• It cost 1.50 per topping
• It cost 1.50 for unlimited toppings
• It cost $15 for a large pizza
• It cost $15 for a large pizza with no toppings

Leslie cleans the barns for the horses.  Her time spent cleaning can be modeled by the equation y = 15 x + 30, where x represents the number of stalls that contains horses.  What is the meaning of the y-intercept?

• The time it takes to clean one horse
• the time it takes to clean one stall
• the time it takes to clean an empty barn
• the times it takes to clean each of the stalls with a horse