Application to Slope

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 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.

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 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 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

Mr. Anderson started the year with 31 flannel shirts. Each month, he buys 3 more flannel shirts.

What is the slope (rate of change) of Mr. Anderson's flannel shirt collection?

• 3

• 28

• 31

• 34

Write the equation for the table given.

• y = 1/3x

• y = 3x

• y = 1/2x