Interpret Slope and Y-Intercept from a Real-Life Problem

What is the slope?

• $2/1 mile drive
• $1/2 miles driven
• 2 miles driven/$1 
• 1 mile driven/$2

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

At what rate did the rain fall?

• 2 cm per hour
• ¹/₄ cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

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

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 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 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. If the fee for Internet access is not included, which statement is true?

• The cost is $9.95 less per day
• The cost is $9.95 less
• The cost is $9.95 more per day
• The cost is $9.95 more

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