Linear, Quadratic, and Cubic Models
The maximum or minimum value in a quadratic model occur at this point.
What is the vertex?
This is the type of model of y = 7x-2.
What is inverse variation?
This function is equivalent to an exponent.
What is a logarithm?
The period of a sinusoidal function is also called its this.
What is wavelength?
This was the first day of the 21st century.
What is January 1, 2001?
If the function for the profit, in $s, for x units can be modeled by the function P(x) = -x(x-5)(x-10), then this is the maximum possible profit.
What is about $48.11?
If y varies directly with the square of x and y = 96 when x = 4, then this is the constant of variation.
What is 6?
If the amount of population of a bacteria in an ecosystem effectively triples each hour continuously, starting with a single bacterium, how much bacteria will be in the ecosystem after seven and a half hours?
What is about 3,788 bacteria?
This is the simplest added phase shift of a sine function in order to become a cosine function.
What is -90o?
Or
What is -π/2?
Psuedo-legendary Pokemon have this base stat total.
What is 600?
What is about 16.7 hours?
If y varies inversely with the cube of x and y = 0.08 when x = 5, then this is the constant of variation.
What is 10?
If the amount of a substance decays at a rate diminishing to 2/5 of its size over the course of each year, then this its half-life.
What is about 1.32 years?
This is the difference between the amplitude and frequency of a sine wave.
What is the amplitude stretches/compresses vertically while the frequency stretches/compresses horizontally?
In Angel, this is the hell dimension that Lorne is from.
What is Pylea?
If an object is thrown with an initial upward speed of 26 m/s from 4 ft above the ground, then this is the maximum height it will hit.
If y varies directly with the cube of x and y = 120 when x = 2, then this is the value of x when y = 25,920.
What is 12?
If the amount of a bacteria in a population is increasing continuously by a factor of 3.5 per hour, starting with 15 bacteria, how many minutes will it take for the population to reach 4,000 bacteria?
What is about 267.5 minuts?
OR
What is about 268 minutes?
If a car is moving around a Ferris Wheel with a 30 ft radius and can complete a cycle every 2 minutes, starting from the bottom of the Ferris Wheel at ground level, then this is its height after 40 seconds into the ride.
What is 45 ft high?
This is the length of a 3-furlong route in inches.
What is 23,760 inches?
If an object is thrown at a 45o angle with an initial velocity of 38 m/s from a height of 1.5 m above the ground, this is how far it will travel horizontally before hitting the ground.
What is about 152 m?
If y varies inversely with the fourth power of x and y = 5/16 when x = 8, then this is the value of x when y = 80/6,561.
What is 18?
If the concentration of 500 ml of a medication has a half-life of 4 hours, how many minutes will it take to diminish to a concentration of 10 ml in the bloodstream?
What is about 1,354.5 minutes?
Or
What is about 1,355 minutes?
If a Ferris Wheel that has a maximum height of 85 ft, starts from its minimum height of 5 ft, and completes 4 full cycles in 9 minutes, then this is how many seconds it takes to first reach a height of 60 ft in the air.
What is 42 seconds?
There is a common programming language named after this comedy group.
What is Monty Python?