Slope Interpretation

A lake near the Arctic circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a a constant rate. The equation shows the ice sheet's thickness, S, measured in meters, t weeks after it begins to melt. Interpret the slope

S = -0.25t + 4

• After each week, the ice thickness has decreased by 0.25 m

• After each week, the ice thickness has increased by 0.25 m

• After each week, the ice thickness has decreased by 4 m

• After each week, the ice thickness has decreased by 4 m

A travel agent arranges trips for climbing Mount Kilimanjaro. For each trip, the agent charges an initial fee in addition to a certain amount for each vertical meter climbed. The equation shown gives the total fee, F, in dollars, for a trip whose vertical distance climbed is d meters. Interpret the slope.

F = 110 + 0.12d

• The initial fee for the trip is $110

• A customer pays $110 for each vertical meter climbed.

• A customer pays $110.12 for each vertical meter climbed

• A customer pays $0.12 for each vertical meter climbed.

Choose the correct slope from the graph above

• 2

• -1/2

• -2

• -3/4

Which of the following graphs has a positive slope?

• 
• 
• 
• 

What does "m" represent in y=mx+b?

• y-intercept

• slope

• macaroni

• nothing

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? 

• 200

• 150

• 300

• 75

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = 1/2x

What is the slope in the equation:  y=4x+3

• 3

• 4x

• 4

• x

Write the equation of the line.

• y = -1/3x - 2

• y = 1/3x - 2

• y = 3x - 2

• y = -3x - 2