Slope and Y-Intercept Applications

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 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 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

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

How can you determine the y-intercept of a function from its equation?

• Multiply the function by 2.

• Set x=0 and solve for y.

• Take the derivative of the function.

• Set y=0 and solve for x.

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

What is the y-intercept?

• (6, 0)

• (0, 6)

• (-3, 0)

• (0, -3)

Find the y-intercept(s) of the graph shown.

• (-3.3, 0)

• (5.6, 0)

• (-5, 0)

• (0, 4)

What is the meaning of the slope?

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