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线性函数(续)
函数的什么性态使它的图形成为一条直线?
1. Interpreting linear functions in context
Interpreting linear functions in context
2. Summary
Summary
3. Meaning of Dolbear's slope
In Dolbear's law T = 40 + 0.25N, what does the slope 0.25 mean?
4. Ice loss per year
Kilimanjaro's ice measured 1951 square meters in 2000 and 1555 in 2007. What is the slope of the linear model, in square meters per year? Round to one decimal place.
5. Predicted ice in 2017
With the model A = 1951 - 56.6t, where t is years after 2000, what is the predicted ice area in 2017? Round to the nearest square meter.
6. Year the ice vanishes
With A = 1951 - 56.6t, at what value of t does the model predict the ice area reaches zero? Round to one decimal place.
7. Questioning the model's extrapolation
The ice model A = 1951 - 56.6t fits data from 2000 to 2007. Which statement best describes using it to predict the year 2034?
8. Population model from a rate
A town starts with 28,750 people and grows by 825 people per year. What is the model, and what does its slope mean?
9. A negative slope means a decreasing model
In Q = 42,505 - 465t the negative slope means the town's population falls by 465 people each year.
10. Draining tank model at thirty minutes
A tank holds 32pi/3 cubic feet and drains at 1.2 cubic feet per minute, so p(t) = 32pi/3 - 1.2t. What is the volume after 10 minutes? Round to one decimal place.
11. Constant rising water level
A conical tank's water height is h = q(t) = 0.65t, with h in feet and t in minutes. What does this say about the rising water?
12. Car value depreciation slope
A car worth 4,600 at age 10, depreciating linearly. What is the slope in dollars per year?
13. Apartment rent and occupancy
Raising monthly rent by $50 reduces occupied units by 7. What is the slope of occupied units against rent?
14. Two linear velocity graphs
Two walkers' velocity functions are straight lines: A's rises with slope 0.5 and D's falls with slope -0.3. What do these slopes mean?
15. Volume of the draining cone
An inverted cone 4 feet deep with radius 2 feet is full. What is its initial volume in cubic feet, to one decimal place?