Slope and Y-Intercept in Context

Find the slope from the table.

• 1/4

• -1/4

• -4

• 4

Which runner was faster?

• Runner A

• Runner B

What is the slope?

• -1/3

• -3

• -4

• 5

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

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.

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