Slope and Y Intercept Interpret

A cruise ship drops anchor off the Caribbean island of Antigua. The anchor drops into the water at a constant rate. The equation shown above gives the anchor's elevation, E, measured in meters relative to the water's surface, after t seconds. Interpret the y-intecept.

E = -2.4t+75

• The anchor falls 2.4 meters

• Before the anchor drops, it is 75 m in the air

• The anchor is dropping at 75 m each second

• Before the anchor drops, it is 2.4 m in the air.

A cruise ship drops anchor off the Caribbean island of Antigua. The anchor drops into the water at a constant rate. The equation shown above gives the anchor's elevation, E, measured in meters relative to the water's surface, after t seconds. Interpret the slope.

E = -2.4t+75

• The anchor falls 2.4 meters each second

• Before the anchor drops, it is 75 m in the air

• The anchor is dropping at 75 m each second

• Before the anchor drops, it is 2.4 m in the air.

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 y-intecept

S = -0.25t + 4

• At the beginning of spring, the ice is 0.25 m thick

• At the beginning of spring, the ice is 4 m thick

• At the beginning of spring, the ice is decreasing in thickness

• At the beginning of spring, the ice is starting to melt

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
• B
• C
• D

What is the meaning of the slope?

• Her bill will increase by $2.95 for every grandchild she brings.

• The cost for Mrs. Franklin's meal is $6.85

• Her bill will increase by $6.85 for every grandchild she brings.

• The cost for Mrs. Franklin's meal is $2.95

What is the meaning of the slope?

• The cost to get into the fair is $5

• The total cost for the day will increase by $1.75 for every ride you go on.

• The cost to get into the fair is $1.75

• The total cost for the day will increase by $5 for every ride you go on. 

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

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.