Newton's Law of Cooling
Rates of Change
Singapore Flyer
Recursive Rules
Function Rules
100
The relationship between time and temperature of a cooling liquid. (linear or exponential)
What is exponential?
100
The common ratio of bacteria growing at a rate of 15% per week.
What is 1.15?
100
The distance around a circle.
What is circumference?
100
________________ rules require you to add or multiply the previous number by a certain amount.
What is recursive?
100
__________________ rules allow you to find the value of any number in the sequence without knowing the previous number.
What is function?
200
The graph compares minutes to temperature for a cup of cooling liquid. The graph is _____________ at a ____________ rate.
What is decreasing and non-constant?
200
When x equals zero, y is equal to the ____________ (initial value or final value) of the function.
What is initial value?
200
A Ferris wheel has a circumference of 65,000 cm. It rotates at a constant rate of 27 cm per seconds. The number of minutes it takes to make one complete revolution:
What is 40 minutes
200
For an arithmetic (linear) sequence, "d" is equal to 5 and the first term is 7. The value of the second term:
What is 12?
300
The temperature a hot liquid approaches as it cools.
What is room temperature?
300
The rate of growth for a quantity is __________________ to the quantity.
What is proportional?
300
Find the missing (adjacent) leg of the right triangle if the given angle is 35 degrees, the hypotenuse is 80.
What is 65.5?
300
For a geometric (exponential) sequence, "r" is 3 and the 5th term is 7. The 6th term:
What is 21?
400
The following is an example of a _______________ rule for the difference in temperature. an=an-1 * 0.996.
What is recursive?
400
The constant of proportionality is .3, and your initial quantity (y0) is 4. Find y(1)
What is 5.2?
400
The angle of rotation is 35 degrees and the radius of the wheel is 100 meters. It sits on a 15 meter boarding terminal. You are __________ meters off the ground.
What is 33.1?
400
Recursive rule for the following sequence: 8, 11, 14, 17
What is an=an-1 + 3?
500
The general form for an exponential function is y=a(b)^x. If the common ratio is 0.86 and the initial temperature is 150 degrees, write a function rule to describe the temperature of hot chocolate (y) as a function of time (x).
What is y=150(0.86)^x
500
If the rate of growth for bacteria were higher, then the scatterplot would increase ____________.
What is faster?
500
True or false. The graph of height vs. time for a rotating wheel is sinusoidal and repeats periodically.
What is True?
500
A recursive rule for the following sequence: 10, 5, 2.5, 1.25
What is an=an-1 * 1/2
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