Interpreting Slope and Y Intercept in Context

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 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 is the meaning of the y-intercept?

• The hamburger will cost $1.90 without any toppings.
• The hamburger will cost $1.40 without any toppings. 
• The cost of the hamburger is $1.90 with one topping
• The cost of the hamburger doesn't change no matter how many toppings there are.

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

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 
• 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.

An air conditioning saleman earns a base salary plus a commission for each air conditioner her sells. The equation y = 375 + 125x represents his pay based on the number of air conditioners he sells each week. What is the y-intercept and what does it represent?

• The y-intercept is 375 and represents the amount he earns for each air conditioner

• The y-intercept is 125 and represents the amount he earns for each air conditioner.

• The y-intercept is 375 and represents the base salary.

• The y-intercept is 125 and represents the base salary.

An air conditioning saleman earns a base salary plus a commission for each air conditioner her sells. The equation y = 375 + 125x represents his pay based on the number of air conditioners he sells each week. What is the slope and what does it represent?

• The slope is 375 and represents the amount he earns for each air conditioner.

• The slope is 125 and represents the amount he earns for each air conditioner.

• The slope is 375 and represents the base salary.

• The slope is 125 and represents the base salary.

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

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the slope.

• Janice saves $12,000 every 500 months

• Janice saves $500 every 12,000 months

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000