Applications of Slope

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 amount of gas a tractor uses given the number of miles traveled. What does the y-intercept tell us?

• That the tractor traveled 40 miles.

• How much gas the tractor started with.

• After 60 miles the tractor had 1 gallon of gas.

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

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 table shows the cost of a taxi, given the number of miles traveled. Calculate the slope and explain the meaning.

• The taxi charges $0.30 for every mile traveled.

• The taxi charges $1.00 for every mile traveled.

• The taxi charges $1.30 for every mile traveled.

• The taxi charges $2.50 for every mile traveled.

The table shows the amount of water in a pool as it drains. Calculate the slope and explain what it means.

• 2.4 gallons of water are added to the pool each hour.

• 2.4 gallons of water are drained from the pool each hour.

• 41 gallons of water are added to the pool each hour.

• 41 gallons of water are drained from the pool each hour.

The graph shows the height of a candle after the given number of minutes. Calculate the slope and state its meaning.

• The candle decreases in height by 1/10 of an inch every minute.

• The candle increases in height by 1/10 of an inch every minute.

• The candle decreases in height by 1/2 of an inch every minute.

• The candle increases in height by 1/2 of an inch every minute.

The graph shows the height of a candle after a given number of minutes. How long did it take for the candle to totally burn?

• 30 minutes

• 60 minutes

• 80 minutes

• 100 minutes

What is the meaning of the y-intercept?

• Colby's initial deposit was $100.

• Colby's initial deposit was $150

• Colby is adding $5 per week

• Colby is adding $10 per week