Comparing Slopes with Application

What is the slope of the following graph?

• m = 80

• m = 20

• m = 40

• m = 160

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? 

• 75 ft/h

• .013 ft/h

• 116.7 ft/h

• 200ft/h

The graph shows the amount of gas a tractor uses given the number of miles traveled. What does the slope tell you?

• 1/20 of a gallon of gas in increased every mile driven.

• 1/20 of a gallon of gas is used every mile driven.

• 4 gallons of gas is increased every mile drive.

• 5 gallons of gas is used every mile driven.

The graph shows the cost of candy as a function of the weight of the candy. Calculate the slope.

• $2.66 for every ounce of candy bought

• $3 for every ounce of candy bought

• $0.50 for every ounce of candy bought

• $0.38 for every ounce of candy bought

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?

• Six Flags

• Splash Down Dunes

• They are the same

P4 B-C. Of the two lines with positive slope, ​ (a)   rises more steeply.

Of the two lines with negative slope, ​ (b)   falls more steeply.

• Line 3

• Line 2

• Line 4

• Line 1

D. Line 4 has a slope of 1/2. Line 1 has a slope of -1. Of these two lines, which is steeper? How can you tell from the given slopes?

|-1| _ |1/2|

Mathematical Equivalence

ON

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same slope

• This cannot be determined.

• They have the same slope.