Interpreting Slope and Y Intercept Stats

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

Chris collects shoes. The equation y =3x + 122 models the number of pairs of Jordans(y) he has in his collection after x months.

Interpret the slope.

• Chris collects an additional 3 pair of Jordans each month

• Chris collects 122 pairs of Jordans every 122 months

• In 3 months, Chris will have 122 more pairs of Jordans.

• Chris sells 3 pairs of Jordans for $122 each.

What is the slope?

• $2/1 mile drive

• $1/2 miles driven

• 2 miles driven/$1 

• 1 mile driven/$2

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.

What is the meaning of the slope?

• You will receive $4 per paper delivered.

• You will receive $5 per paper delivered

• You will receive $20 per paper delivered

• You will receive $20 for the day

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.

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping

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

What line has the steepest slope?

• All slopes are equal

• Red

• Blue

• Green

What does the y-intercept represent?

• The amount of each deposit made

• The initial amount of money in the savings account

• The number of deposits made

• The amount of money in the savings account after 50 deposits