Determine and Interpret Slopes and Y-Intercept

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 

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.

The function C(m)=2.25+0.75m represents the total cost (C) you have to pay to take a cab m miles. What is the meaning of the y-intercept?

• The cost of the trip will increase by $0.75 per mile. 

• You will have to pay $2.25 before you travel any miles. 

• You will have to pay $0.75 before you travel any miles.

• The cost of the trip will increase by $2.25 per mile.

The height (H in inches) of a candle is represented by the linear function: H(t)=-0.25t+6, where t represents the time passed in hours. What is the meaning of the slope?

• The height of the candle will decrease by 0.25 inches per hour

• The height of the candle will increase by 0.25 inches per hour.

• The candle is 6 inches tall before it is lit. 

• The candle is 0.25 inches tall before it is lit. 

The graph shows the cost of dance lessons, y, and the number of dance lessons taken, x.

What is the rate of change(slope) of the cost of the dance lessons with respect to the number of lessons taken?

• Each dance lesson costs $10.00.

• The maximum amount a person will pay for dance lessons is $115.00

• The maximum number of dance lessons a person can take is 9.

• The registration fee to begin dance lessons is $12.00

Select the statement that is true.

• The slope represent the number of cookies in a package.

• The slope represents the total number of calories consumed.

• The slope represents the total number of cookies eaten.

• The slope of the scenario means calories consumed per cookies eaten

What is the meaning of the slope?

• The cost to rent a boat will increase by $12 per hour

• The initial fee is $15 before hourly charges

• The cost will increase by $15 per hour

• The initial fee before hourly charges is $12

The slope in this scenario means....

• The total cost of gas

• The cost of gas per gallon

• Amount of gas in the tank to begin with.

• The number of gallons of gas

What is the meaning of the slope?

• The cost to get into the fair is $5

• The total cost for the day will increase by $1.75 for every ride you go on.

• The cost to get into the fair is $1.75

• The total cost for the day will increase by $5 for every ride you go on. 

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.